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Finding the Fourth Proportional to 25,171.55, 37,754.89 and 7,641.53

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Solution

The fourth proportional to 25,171.55, 37,754.89 and 7,641.53 is: 11,461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,171.55 : 37,754.89 = 7,641.53 : x
  2. Step 2: Convert to fraction form
    25,171.55/37,754.89 = 7,641.53/x
  3. Step 3: Cross multiply
    25,171.55x = 37,754.89 × 7,641.53
  4. Step 4: Simplify right side
    25,171.55x = 288,505,124.58
  5. Step 5: Solve for x
    x = 288,505,124.58/25,171.55
  6. Step 6: Final answer
    x = 11,461.56

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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.