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Finding the Fourth Proportional to 25,640.48, 38,461.73 and 9,853.17

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Solution

The fourth proportional to 25,640.48, 38,461.73 and 9,853.17 is: 14,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,640.48 : 38,461.73 = 9,853.17 : x
  2. Step 2: Convert to fraction form
    25,640.48/38,461.73 = 9,853.17/x
  3. Step 3: Cross multiply
    25,640.48x = 38,461.73 × 9,853.17
  4. Step 4: Simplify right side
    25,640.48x = 378,969,914.92
  5. Step 5: Solve for x
    x = 378,969,914.92/25,640.48
  6. Step 6: Final answer
    x = 14,780.14

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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.