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Finding the Fourth Proportional to 25,102.90, 37,652.31 and 8,462.58

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Solution

The fourth proportional to 25,102.90, 37,652.31 and 8,462.58 is: 12,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.90 : 37,652.31 = 8,462.58 : x
  2. Step 2: Convert to fraction form
    25,102.90/37,652.31 = 8,462.58/x
  3. Step 3: Cross multiply
    25,102.90x = 37,652.31 × 8,462.58
  4. Step 4: Simplify right side
    25,102.90x = 318,635,685.56
  5. Step 5: Solve for x
    x = 318,635,685.56/25,102.90
  6. Step 6: Final answer
    x = 12,693.18

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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.