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Finding the Fourth Proportional to 17,701.72, 24,432.16 and 10,149.28

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Solution

The fourth proportional to 17,701.72, 24,432.16 and 10,149.28 is: 14,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.72 : 24,432.16 = 10,149.28 : x
  2. Step 2: Convert to fraction form
    17,701.72/24,432.16 = 10,149.28/x
  3. Step 3: Cross multiply
    17,701.72x = 24,432.16 × 10,149.28
  4. Step 4: Simplify right side
    17,701.72x = 247,968,832.84
  5. Step 5: Solve for x
    x = 247,968,832.84/17,701.72
  6. Step 6: Final answer
    x = 14,008.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.