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Finding the Fourth Proportional to 25,641.14, 38,461.71 and 7,173.14

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Solution

The fourth proportional to 25,641.14, 38,461.71 and 7,173.14 is: 10,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,641.14 : 38,461.71 = 7,173.14 : x
  2. Step 2: Convert to fraction form
    25,641.14/38,461.71 = 7,173.14/x
  3. Step 3: Cross multiply
    25,641.14x = 38,461.71 × 7,173.14
  4. Step 4: Simplify right side
    25,641.14x = 275,891,230.47
  5. Step 5: Solve for x
    x = 275,891,230.47/25,641.14
  6. Step 6: Final answer
    x = 10,759.71

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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.