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Finding the Fourth Proportional to 16,568, 22,864 and 9,116.16

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Solution

The fourth proportional to 16,568, 22,864 and 9,116.16 is: 12,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,568 : 22,864 = 9,116.16 : x
  2. Step 2: Convert to fraction form
    16,568/22,864 = 9,116.16/x
  3. Step 3: Cross multiply
    16,568x = 22,864 × 9,116.16
  4. Step 4: Simplify right side
    16,568x = 208,431,882.24
  5. Step 5: Solve for x
    x = 208,431,882.24/16,568
  6. Step 6: Final answer
    x = 12,580.39

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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.