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Finding the Fourth Proportional to 25,876.27, 38,814.40 and 8,346.10

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Solution

The fourth proportional to 25,876.27, 38,814.40 and 8,346.10 is: 12,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876.27 : 38,814.40 = 8,346.10 : x
  2. Step 2: Convert to fraction form
    25,876.27/38,814.40 = 8,346.10/x
  3. Step 3: Cross multiply
    25,876.27x = 38,814.40 × 8,346.10
  4. Step 4: Simplify right side
    25,876.27x = 323,948,669.77
  5. Step 5: Solve for x
    x = 323,948,669.77/25,876.27
  6. Step 6: Final answer
    x = 12,519.14

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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.