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Finding the Fourth Proportional to 24,481.68, 33,772.28 and 15,988.77

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Solution

The fourth proportional to 24,481.68, 33,772.28 and 15,988.77 is: 22,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,481.68 : 33,772.28 = 15,988.77 : x
  2. Step 2: Convert to fraction form
    24,481.68/33,772.28 = 15,988.77/x
  3. Step 3: Cross multiply
    24,481.68x = 33,772.28 × 15,988.77
  4. Step 4: Simplify right side
    24,481.68x = 539,977,341.70
  5. Step 5: Solve for x
    x = 539,977,341.70/24,481.68
  6. Step 6: Final answer
    x = 22,056.38

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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.