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Finding the Fourth Proportional to 16,568, 22,882.80 and 11,253.92

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Solution

The fourth proportional to 16,568, 22,882.80 and 11,253.92 is: 15,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,568 : 22,882.80 = 11,253.92 : x
  2. Step 2: Convert to fraction form
    16,568/22,882.80 = 11,253.92/x
  3. Step 3: Cross multiply
    16,568x = 22,882.80 × 11,253.92
  4. Step 4: Simplify right side
    16,568x = 257,521,200.58
  5. Step 5: Solve for x
    x = 257,521,200.58/16,568
  6. Step 6: Final answer
    x = 15,543.29

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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.