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Finding the Fourth Proportional to 17,869.42, 24,658.70 and 9,911.48

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Solution

The fourth proportional to 17,869.42, 24,658.70 and 9,911.48 is: 13,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,869.42 : 24,658.70 = 9,911.48 : x
  2. Step 2: Convert to fraction form
    17,869.42/24,658.70 = 9,911.48/x
  3. Step 3: Cross multiply
    17,869.42x = 24,658.70 × 9,911.48
  4. Step 4: Simplify right side
    17,869.42x = 244,404,223.97
  5. Step 5: Solve for x
    x = 244,404,223.97/17,869.42
  6. Step 6: Final answer
    x = 13,677.24

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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.