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Finding the Fourth Proportional to 17,682.76, 24,402.17 and 10,131.53

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Solution

The fourth proportional to 17,682.76, 24,402.17 and 10,131.53 is: 13,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.76 : 24,402.17 = 10,131.53 : x
  2. Step 2: Convert to fraction form
    17,682.76/24,402.17 = 10,131.53/x
  3. Step 3: Cross multiply
    17,682.76x = 24,402.17 × 10,131.53
  4. Step 4: Simplify right side
    17,682.76x = 247,231,317.42
  5. Step 5: Solve for x
    x = 247,231,317.42/17,682.76
  6. Step 6: Final answer
    x = 13,981.49

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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.