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Finding the Fourth Proportional to 16,423.76, 22,665.48 and 8,972.24

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Solution

The fourth proportional to 16,423.76, 22,665.48 and 8,972.24 is: 12,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.76 : 22,665.48 = 8,972.24 : x
  2. Step 2: Convert to fraction form
    16,423.76/22,665.48 = 8,972.24/x
  3. Step 3: Cross multiply
    16,423.76x = 22,665.48 × 8,972.24
  4. Step 4: Simplify right side
    16,423.76x = 203,360,126.28
  5. Step 5: Solve for x
    x = 203,360,126.28/16,423.76
  6. Step 6: Final answer
    x = 12,382.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.