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Finding the Fourth Proportional to 16,382.91, 22,607.67 and 10,020.16

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Solution

The fourth proportional to 16,382.91, 22,607.67 and 10,020.16 is: 13,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.91 : 22,607.67 = 10,020.16 : x
  2. Step 2: Convert to fraction form
    16,382.91/22,607.67 = 10,020.16/x
  3. Step 3: Cross multiply
    16,382.91x = 22,607.67 × 10,020.16
  4. Step 4: Simplify right side
    16,382.91x = 226,532,414.11
  5. Step 5: Solve for x
    x = 226,532,414.11/16,382.91
  6. Step 6: Final answer
    x = 13,827.36

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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.