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Finding the Fourth Proportional to 24,702.96, 34,089.76 and 14,092.80

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Solution

The fourth proportional to 24,702.96, 34,089.76 and 14,092.80 is: 19,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702.96 : 34,089.76 = 14,092.80 : x
  2. Step 2: Convert to fraction form
    24,702.96/34,089.76 = 14,092.80/x
  3. Step 3: Cross multiply
    24,702.96x = 34,089.76 × 14,092.80
  4. Step 4: Simplify right side
    24,702.96x = 480,420,169.73
  5. Step 5: Solve for x
    x = 480,420,169.73/24,702.96
  6. Step 6: Final answer
    x = 19,447.88

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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.