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Finding the Fourth Proportional to 25,488.70, 38,225.76 and 9,902.68

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Solution

The fourth proportional to 25,488.70, 38,225.76 and 9,902.68 is: 14,851.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,488.70 : 38,225.76 = 9,902.68 : x
  2. Step 2: Convert to fraction form
    25,488.70/38,225.76 = 9,902.68/x
  3. Step 3: Cross multiply
    25,488.70x = 38,225.76 × 9,902.68
  4. Step 4: Simplify right side
    25,488.70x = 378,537,469.04
  5. Step 5: Solve for x
    x = 378,537,469.04/25,488.70
  6. Step 6: Final answer
    x = 14,851.19

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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.