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Finding the Fourth Proportional to 16,622.31, 22,939.67 and 9,549.19

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Solution

The fourth proportional to 16,622.31, 22,939.67 and 9,549.19 is: 13,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,622.31 : 22,939.67 = 9,549.19 : x
  2. Step 2: Convert to fraction form
    16,622.31/22,939.67 = 9,549.19/x
  3. Step 3: Cross multiply
    16,622.31x = 22,939.67 × 9,549.19
  4. Step 4: Simplify right side
    16,622.31x = 219,055,319.91
  5. Step 5: Solve for x
    x = 219,055,319.91/16,622.31
  6. Step 6: Final answer
    x = 13,178.39

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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.