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Finding the Fourth Proportional to 24,702.88, 34,089.97 and 13,524.88

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Solution

The fourth proportional to 24,702.88, 34,089.97 and 13,524.88 is: 18,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702.88 : 34,089.97 = 13,524.88 : x
  2. Step 2: Convert to fraction form
    24,702.88/34,089.97 = 13,524.88/x
  3. Step 3: Cross multiply
    24,702.88x = 34,089.97 × 13,524.88
  4. Step 4: Simplify right side
    24,702.88x = 461,062,549.19
  5. Step 5: Solve for x
    x = 461,062,549.19/24,702.88
  6. Step 6: Final answer
    x = 18,664.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.