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Finding the Fourth Proportional to 16,242.47, 22,414.43 and 9,169.19

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Solution

The fourth proportional to 16,242.47, 22,414.43 and 9,169.19 is: 12,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.47 : 22,414.43 = 9,169.19 : x
  2. Step 2: Convert to fraction form
    16,242.47/22,414.43 = 9,169.19/x
  3. Step 3: Cross multiply
    16,242.47x = 22,414.43 × 9,169.19
  4. Step 4: Simplify right side
    16,242.47x = 205,522,009.49
  5. Step 5: Solve for x
    x = 205,522,009.49/16,242.47
  6. Step 6: Final answer
    x = 12,653.38

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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.