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Finding the Fourth Proportional to 16,338.40, 22,543.54 and 10,681.43

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Solution

The fourth proportional to 16,338.40, 22,543.54 and 10,681.43 is: 14,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.40 : 22,543.54 = 10,681.43 : x
  2. Step 2: Convert to fraction form
    16,338.40/22,543.54 = 10,681.43/x
  3. Step 3: Cross multiply
    16,338.40x = 22,543.54 × 10,681.43
  4. Step 4: Simplify right side
    16,338.40x = 240,797,105.04
  5. Step 5: Solve for x
    x = 240,797,105.04/16,338.40
  6. Step 6: Final answer
    x = 14,738.11

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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.