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Finding the Fourth Proportional to 10,010.30, 14,930.84 and 9,432.14

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Solution

The fourth proportional to 10,010.30, 14,930.84 and 9,432.14 is: 14,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.30 : 14,930.84 = 9,432.14 : x
  2. Step 2: Convert to fraction form
    10,010.30/14,930.84 = 9,432.14/x
  3. Step 3: Cross multiply
    10,010.30x = 14,930.84 × 9,432.14
  4. Step 4: Simplify right side
    10,010.30x = 140,829,773.20
  5. Step 5: Solve for x
    x = 140,829,773.20/10,010.30
  6. Step 6: Final answer
    x = 14,068.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.