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Finding the Fourth Proportional to 25,503.59, 38,260.25 and 9,920

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Solution

The fourth proportional to 25,503.59, 38,260.25 and 9,920 is: 14,881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,503.59 : 38,260.25 = 9,920 : x
  2. Step 2: Convert to fraction form
    25,503.59/38,260.25 = 9,920/x
  3. Step 3: Cross multiply
    25,503.59x = 38,260.25 × 9,920
  4. Step 4: Simplify right side
    25,503.59x = 379,541,680
  5. Step 5: Solve for x
    x = 379,541,680/25,503.59
  6. Step 6: Final answer
    x = 14,881.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.