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Finding the Fourth Proportional to 25,147.87, 37,725.14 and 8,275.30

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Solution

The fourth proportional to 25,147.87, 37,725.14 and 8,275.30 is: 12,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,147.87 : 37,725.14 = 8,275.30 : x
  2. Step 2: Convert to fraction form
    25,147.87/37,725.14 = 8,275.30/x
  3. Step 3: Cross multiply
    25,147.87x = 37,725.14 × 8,275.30
  4. Step 4: Simplify right side
    25,147.87x = 312,186,777.42
  5. Step 5: Solve for x
    x = 312,186,777.42/25,147.87
  6. Step 6: Final answer
    x = 12,414.05

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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.