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Finding the Fourth Proportional to 16,232.69, 22,401.20 and 9,159.57

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Solution

The fourth proportional to 16,232.69, 22,401.20 and 9,159.57 is: 12,640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.69 : 22,401.20 = 9,159.57 : x
  2. Step 2: Convert to fraction form
    16,232.69/22,401.20 = 9,159.57/x
  3. Step 3: Cross multiply
    16,232.69x = 22,401.20 × 9,159.57
  4. Step 4: Simplify right side
    16,232.69x = 205,185,382.38
  5. Step 5: Solve for x
    x = 205,185,382.38/16,232.69
  6. Step 6: Final answer
    x = 12,640.26

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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.