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Finding the Fourth Proportional to 24,220.98, 33,425.10 and 14,657.70

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Solution

The fourth proportional to 24,220.98, 33,425.10 and 14,657.70 is: 20,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,220.98 : 33,425.10 = 14,657.70 : x
  2. Step 2: Convert to fraction form
    24,220.98/33,425.10 = 14,657.70/x
  3. Step 3: Cross multiply
    24,220.98x = 33,425.10 × 14,657.70
  4. Step 4: Simplify right side
    24,220.98x = 489,935,088.27
  5. Step 5: Solve for x
    x = 489,935,088.27/24,220.98
  6. Step 6: Final answer
    x = 20,227.72

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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.