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Finding the Fourth Proportional to 22,531.86, 33,754.04 and 10,853.28

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Solution

The fourth proportional to 22,531.86, 33,754.04 and 10,853.28 is: 16,258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.86 : 33,754.04 = 10,853.28 : x
  2. Step 2: Convert to fraction form
    22,531.86/33,754.04 = 10,853.28/x
  3. Step 3: Cross multiply
    22,531.86x = 33,754.04 × 10,853.28
  4. Step 4: Simplify right side
    22,531.86x = 366,342,047.25
  5. Step 5: Solve for x
    x = 366,342,047.25/22,531.86
  6. Step 6: Final answer
    x = 16,258.85

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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.