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Finding the Fourth Proportional to 13,432.71, 20,149.13 and 4,548.12

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Solution

The fourth proportional to 13,432.71, 20,149.13 and 4,548.12 is: 6,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.71 : 20,149.13 = 4,548.12 : x
  2. Step 2: Convert to fraction form
    13,432.71/20,149.13 = 4,548.12/x
  3. Step 3: Cross multiply
    13,432.71x = 20,149.13 × 4,548.12
  4. Step 4: Simplify right side
    13,432.71x = 91,640,661.14
  5. Step 5: Solve for x
    x = 91,640,661.14/13,432.71
  6. Step 6: Final answer
    x = 6,822.20

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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.