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Finding the Fourth Proportional to 17,706.53, 24,432.18 and 10,151.51

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Solution

The fourth proportional to 17,706.53, 24,432.18 and 10,151.51 is: 14,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.53 : 24,432.18 = 10,151.51 : x
  2. Step 2: Convert to fraction form
    17,706.53/24,432.18 = 10,151.51/x
  3. Step 3: Cross multiply
    17,706.53x = 24,432.18 × 10,151.51
  4. Step 4: Simplify right side
    17,706.53x = 248,023,397.43
  5. Step 5: Solve for x
    x = 248,023,397.43/17,706.53
  6. Step 6: Final answer
    x = 14,007.46

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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.