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Finding the Fourth Proportional to 15,246.29, 22,872 and 5,250.64

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Solution

The fourth proportional to 15,246.29, 22,872 and 5,250.64 is: 7,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,246.29 : 22,872 = 5,250.64 : x
  2. Step 2: Convert to fraction form
    15,246.29/22,872 = 5,250.64/x
  3. Step 3: Cross multiply
    15,246.29x = 22,872 × 5,250.64
  4. Step 4: Simplify right side
    15,246.29x = 120,092,580.90
  5. Step 5: Solve for x
    x = 120,092,580.90/15,246.29
  6. Step 6: Final answer
    x = 7,876.84

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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.