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Finding the Fourth Proportional to 22,762.40, 34,148.40 and 7,181.60

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Solution

The fourth proportional to 22,762.40, 34,148.40 and 7,181.60 is: 10,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.40 : 34,148.40 = 7,181.60 : x
  2. Step 2: Convert to fraction form
    22,762.40/34,148.40 = 7,181.60/x
  3. Step 3: Cross multiply
    22,762.40x = 34,148.40 × 7,181.60
  4. Step 4: Simplify right side
    22,762.40x = 245,240,149.44
  5. Step 5: Solve for x
    x = 245,240,149.44/22,762.40
  6. Step 6: Final answer
    x = 10,773.91

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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.