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Finding the Fourth Proportional to 17,691.01, 24,417.08 and 10,142.40

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Solution

The fourth proportional to 17,691.01, 24,417.08 and 10,142.40 is: 13,998.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691.01 : 24,417.08 = 10,142.40 : x
  2. Step 2: Convert to fraction form
    17,691.01/24,417.08 = 10,142.40/x
  3. Step 3: Cross multiply
    17,691.01x = 24,417.08 × 10,142.40
  4. Step 4: Simplify right side
    17,691.01x = 247,647,792.19
  5. Step 5: Solve for x
    x = 247,647,792.19/17,691.01
  6. Step 6: Final answer
    x = 13,998.51

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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.