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Finding the Fourth Proportional to 10,603,644.20, 15,905,466.30 and 9,782,498.60

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Solution

The fourth proportional to 10,603,644.20, 15,905,466.30 and 9,782,498.60 is: 14,673,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603,644.20 : 15,905,466.30 = 9,782,498.60 : x
  2. Step 2: Convert to fraction form
    10,603,644.20/15,905,466.30 = 9,782,498.60/x
  3. Step 3: Cross multiply
    10,603,644.20x = 15,905,466.30 × 9,782,498.60
  4. Step 4: Simplify right side
    10,603,644.20x = 155,595,201,812,097.19
  5. Step 5: Solve for x
    x = 155,595,201,812,097.19/10,603,644.20
  6. Step 6: Final answer
    x = 14,673,747.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.