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Finding the Fourth Proportional to 22,989, 34,483.50 and 6,349.20

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Solution

The fourth proportional to 22,989, 34,483.50 and 6,349.20 is: 9,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,989 : 34,483.50 = 6,349.20 : x
  2. Step 2: Convert to fraction form
    22,989/34,483.50 = 6,349.20/x
  3. Step 3: Cross multiply
    22,989x = 34,483.50 × 6,349.20
  4. Step 4: Simplify right side
    22,989x = 218,942,638.20
  5. Step 5: Solve for x
    x = 218,942,638.20/22,989
  6. Step 6: Final answer
    x = 9,523.80

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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.