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Finding the Fourth Proportional to 17,686.14, 24,428.34 and 13,229.52

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Solution

The fourth proportional to 17,686.14, 24,428.34 and 13,229.52 is: 18,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.14 : 24,428.34 = 13,229.52 : x
  2. Step 2: Convert to fraction form
    17,686.14/24,428.34 = 13,229.52/x
  3. Step 3: Cross multiply
    17,686.14x = 24,428.34 × 13,229.52
  4. Step 4: Simplify right side
    17,686.14x = 323,175,212.60
  5. Step 5: Solve for x
    x = 323,175,212.60/17,686.14
  6. Step 6: Final answer
    x = 18,272.80

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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.