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Finding the Fourth Proportional to 17,658.80, 24,369.89 and 10,105.14

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Solution

The fourth proportional to 17,658.80, 24,369.89 and 10,105.14 is: 13,945.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.80 : 24,369.89 = 10,105.14 : x
  2. Step 2: Convert to fraction form
    17,658.80/24,369.89 = 10,105.14/x
  3. Step 3: Cross multiply
    17,658.80x = 24,369.89 × 10,105.14
  4. Step 4: Simplify right side
    17,658.80x = 246,261,099.71
  5. Step 5: Solve for x
    x = 246,261,099.71/17,658.80
  6. Step 6: Final answer
    x = 13,945.52

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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.