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Finding the Fourth Proportional to 25,876.40, 38,781.09 and 10,866.50

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Solution

The fourth proportional to 25,876.40, 38,781.09 and 10,866.50 is: 16,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876.40 : 38,781.09 = 10,866.50 : x
  2. Step 2: Convert to fraction form
    25,876.40/38,781.09 = 10,866.50/x
  3. Step 3: Cross multiply
    25,876.40x = 38,781.09 × 10,866.50
  4. Step 4: Simplify right side
    25,876.40x = 421,414,714.49
  5. Step 5: Solve for x
    x = 421,414,714.49/25,876.40
  6. Step 6: Final answer
    x = 16,285.68

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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.