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Finding the Fourth Proportional to 16,691.38, 23,034.10 and 9,621.90

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Solution

The fourth proportional to 16,691.38, 23,034.10 and 9,621.90 is: 13,278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,691.38 : 23,034.10 = 9,621.90 : x
  2. Step 2: Convert to fraction form
    16,691.38/23,034.10 = 9,621.90/x
  3. Step 3: Cross multiply
    16,691.38x = 23,034.10 × 9,621.90
  4. Step 4: Simplify right side
    16,691.38x = 221,631,806.79
  5. Step 5: Solve for x
    x = 221,631,806.79/16,691.38
  6. Step 6: Final answer
    x = 13,278.22

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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.