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Finding the Fourth Proportional to 22,335.86, 33,490.02 and 7,543.38

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Solution

The fourth proportional to 22,335.86, 33,490.02 and 7,543.38 is: 11,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,335.86 : 33,490.02 = 7,543.38 : x
  2. Step 2: Convert to fraction form
    22,335.86/33,490.02 = 7,543.38/x
  3. Step 3: Cross multiply
    22,335.86x = 33,490.02 × 7,543.38
  4. Step 4: Simplify right side
    22,335.86x = 252,627,947.07
  5. Step 5: Solve for x
    x = 252,627,947.07/22,335.86
  6. Step 6: Final answer
    x = 11,310.42

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Why These Related Problems?

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