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Finding the Fourth Proportional to 24,702.24, 34,089.12 and 13,524

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Solution

The fourth proportional to 24,702.24, 34,089.12 and 13,524 is: 18,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702.24 : 34,089.12 = 13,524 : x
  2. Step 2: Convert to fraction form
    24,702.24/34,089.12 = 13,524/x
  3. Step 3: Cross multiply
    24,702.24x = 34,089.12 × 13,524
  4. Step 4: Simplify right side
    24,702.24x = 461,021,258.88
  5. Step 5: Solve for x
    x = 461,021,258.88/24,702.24
  6. Step 6: Final answer
    x = 18,663.14

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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.