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Finding the Fourth Proportional to 25,097.28, 37,643.87 and 8,456.94

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Solution

The fourth proportional to 25,097.28, 37,643.87 and 8,456.94 is: 12,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.28 : 37,643.87 = 8,456.94 : x
  2. Step 2: Convert to fraction form
    25,097.28/37,643.87 = 8,456.94/x
  3. Step 3: Cross multiply
    25,097.28x = 37,643.87 × 8,456.94
  4. Step 4: Simplify right side
    25,097.28x = 318,351,949.96
  5. Step 5: Solve for x
    x = 318,351,949.96/25,097.28
  6. Step 6: Final answer
    x = 12,684.72

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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.