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Finding the Fourth Proportional to 24,462.90, 33,760.89 and 13,854.42

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Solution

The fourth proportional to 24,462.90, 33,760.89 and 13,854.42 is: 19,120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462.90 : 33,760.89 = 13,854.42 : x
  2. Step 2: Convert to fraction form
    24,462.90/33,760.89 = 13,854.42/x
  3. Step 3: Cross multiply
    24,462.90x = 33,760.89 × 13,854.42
  4. Step 4: Simplify right side
    24,462.90x = 467,737,549.63
  5. Step 5: Solve for x
    x = 467,737,549.63/24,462.90
  6. Step 6: Final answer
    x = 19,120.28

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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.