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Finding the Fourth Proportional to 15,792.24, 23,691.24 and 6,558

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Solution

The fourth proportional to 15,792.24, 23,691.24 and 6,558 is: 9,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,792.24 : 23,691.24 = 6,558 : x
  2. Step 2: Convert to fraction form
    15,792.24/23,691.24 = 6,558/x
  3. Step 3: Cross multiply
    15,792.24x = 23,691.24 × 6,558
  4. Step 4: Simplify right side
    15,792.24x = 155,367,151.92
  5. Step 5: Solve for x
    x = 155,367,151.92/15,792.24
  6. Step 6: Final answer
    x = 9,838.20

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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.