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Finding the Fourth Proportional to 24,387.92, 33,655.56 and 13,210

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Solution

The fourth proportional to 24,387.92, 33,655.56 and 13,210 is: 18,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,387.92 : 33,655.56 = 13,210 : x
  2. Step 2: Convert to fraction form
    24,387.92/33,655.56 = 13,210/x
  3. Step 3: Cross multiply
    24,387.92x = 33,655.56 × 13,210
  4. Step 4: Simplify right side
    24,387.92x = 444,589,947.60
  5. Step 5: Solve for x
    x = 444,589,947.60/24,387.92
  6. Step 6: Final answer
    x = 18,229.92

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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.