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Finding the Fourth Proportional to 16,344.38, 22,552.26 and 10,677.62

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Solution

The fourth proportional to 16,344.38, 22,552.26 and 10,677.62 is: 14,733.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.38 : 22,552.26 = 10,677.62 : x
  2. Step 2: Convert to fraction form
    16,344.38/22,552.26 = 10,677.62/x
  3. Step 3: Cross multiply
    16,344.38x = 22,552.26 × 10,677.62
  4. Step 4: Simplify right side
    16,344.38x = 240,804,462.42
  5. Step 5: Solve for x
    x = 240,804,462.42/16,344.38
  6. Step 6: Final answer
    x = 14,733.17

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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.