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Finding the Fourth Proportional to 25,171.67, 37,755.08 and 7,641.65

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Solution

The fourth proportional to 25,171.67, 37,755.08 and 7,641.65 is: 11,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,171.67 : 37,755.08 = 7,641.65 : x
  2. Step 2: Convert to fraction form
    25,171.67/37,755.08 = 7,641.65/x
  3. Step 3: Cross multiply
    25,171.67x = 37,755.08 × 7,641.65
  4. Step 4: Simplify right side
    25,171.67x = 288,511,191.92
  5. Step 5: Solve for x
    x = 288,511,191.92/25,171.67
  6. Step 6: Final answer
    x = 11,461.74

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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.