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Finding the Fourth Proportional to 25,635.12, 38,459.16 and 7,167.12

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Solution

The fourth proportional to 25,635.12, 38,459.16 and 7,167.12 is: 10,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,635.12 : 38,459.16 = 7,167.12 : x
  2. Step 2: Convert to fraction form
    25,635.12/38,459.16 = 7,167.12/x
  3. Step 3: Cross multiply
    25,635.12x = 38,459.16 × 7,167.12
  4. Step 4: Simplify right side
    25,635.12x = 275,641,414.82
  5. Step 5: Solve for x
    x = 275,641,414.82/25,635.12
  6. Step 6: Final answer
    x = 10,752.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.