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Finding the Fourth Proportional to 25,102.60, 37,654.02 and 8,462.78

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Solution

The fourth proportional to 25,102.60, 37,654.02 and 8,462.78 is: 12,694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.60 : 37,654.02 = 8,462.78 : x
  2. Step 2: Convert to fraction form
    25,102.60/37,654.02 = 8,462.78/x
  3. Step 3: Cross multiply
    25,102.60x = 37,654.02 × 8,462.78
  4. Step 4: Simplify right side
    25,102.60x = 318,657,499.11
  5. Step 5: Solve for x
    x = 318,657,499.11/25,102.60
  6. Step 6: Final answer
    x = 12,694.20

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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.