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Finding the Fourth Proportional to 17,130.72, 23,641.92 and 10,414.74

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Solution

The fourth proportional to 17,130.72, 23,641.92 and 10,414.74 is: 14,373.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,130.72 : 23,641.92 = 10,414.74 : x
  2. Step 2: Convert to fraction form
    17,130.72/23,641.92 = 10,414.74/x
  3. Step 3: Cross multiply
    17,130.72x = 23,641.92 × 10,414.74
  4. Step 4: Simplify right side
    17,130.72x = 246,224,449.90
  5. Step 5: Solve for x
    x = 246,224,449.90/17,130.72
  6. Step 6: Final answer
    x = 14,373.27

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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.