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Finding the Fourth Proportional to 10,005.62, 15,009.71 and 3,432.24

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Solution

The fourth proportional to 10,005.62, 15,009.71 and 3,432.24 is: 5,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.62 : 15,009.71 = 3,432.24 : x
  2. Step 2: Convert to fraction form
    10,005.62/15,009.71 = 3,432.24/x
  3. Step 3: Cross multiply
    10,005.62x = 15,009.71 × 3,432.24
  4. Step 4: Simplify right side
    10,005.62x = 51,516,909.89
  5. Step 5: Solve for x
    x = 51,516,909.89/10,005.62
  6. Step 6: Final answer
    x = 5,148.80

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