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Finding the Fourth Proportional to 16,232.61, 22,401.02 and 9,159.69

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Solution

The fourth proportional to 16,232.61, 22,401.02 and 9,159.69 is: 12,640.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.61 : 22,401.02 = 9,159.69 : x
  2. Step 2: Convert to fraction form
    16,232.61/22,401.02 = 9,159.69/x
  3. Step 3: Cross multiply
    16,232.61x = 22,401.02 × 9,159.69
  4. Step 4: Simplify right side
    16,232.61x = 205,186,241.08
  5. Step 5: Solve for x
    x = 205,186,241.08/16,232.61
  6. Step 6: Final answer
    x = 12,640.38

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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.