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Finding the Fourth Proportional to 25,769.18, 38,654.04 and 8,238.62

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Solution

The fourth proportional to 25,769.18, 38,654.04 and 8,238.62 is: 12,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,769.18 : 38,654.04 = 8,238.62 : x
  2. Step 2: Convert to fraction form
    25,769.18/38,654.04 = 8,238.62/x
  3. Step 3: Cross multiply
    25,769.18x = 38,654.04 × 8,238.62
  4. Step 4: Simplify right side
    25,769.18x = 318,455,947.02
  5. Step 5: Solve for x
    x = 318,455,947.02/25,769.18
  6. Step 6: Final answer
    x = 12,358.02

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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.