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Finding the Fourth Proportional to 15,306.72, 22,961.76 and 6,542.52

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Solution

The fourth proportional to 15,306.72, 22,961.76 and 6,542.52 is: 9,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,306.72 : 22,961.76 = 6,542.52 : x
  2. Step 2: Convert to fraction form
    15,306.72/22,961.76 = 6,542.52/x
  3. Step 3: Cross multiply
    15,306.72x = 22,961.76 × 6,542.52
  4. Step 4: Simplify right side
    15,306.72x = 150,227,774.04
  5. Step 5: Solve for x
    x = 150,227,774.04/15,306.72
  6. Step 6: Final answer
    x = 9,814.50

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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.