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Finding the Fourth Proportional to 22,109.52, 33,178.86 and 10,423.92

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Solution

The fourth proportional to 22,109.52, 33,178.86 and 10,423.92 is: 15,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,109.52 : 33,178.86 = 10,423.92 : x
  2. Step 2: Convert to fraction form
    22,109.52/33,178.86 = 10,423.92/x
  3. Step 3: Cross multiply
    22,109.52x = 33,178.86 × 10,423.92
  4. Step 4: Simplify right side
    22,109.52x = 345,853,782.33
  5. Step 5: Solve for x
    x = 345,853,782.33/22,109.52
  6. Step 6: Final answer
    x = 15,642.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.