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Finding the Fourth Proportional to 25,098.89, 37,640.12 and 8,454.45

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Solution

The fourth proportional to 25,098.89, 37,640.12 and 8,454.45 is: 12,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,098.89 : 37,640.12 = 8,454.45 : x
  2. Step 2: Convert to fraction form
    25,098.89/37,640.12 = 8,454.45/x
  3. Step 3: Cross multiply
    25,098.89x = 37,640.12 × 8,454.45
  4. Step 4: Simplify right side
    25,098.89x = 318,226,470.26
  5. Step 5: Solve for x
    x = 318,226,470.26/25,098.89
  6. Step 6: Final answer
    x = 12,678.91

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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.