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Finding the Fourth Proportional to 24,727.82, 34,124.39 and 13,397.39

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Solution

The fourth proportional to 24,727.82, 34,124.39 and 13,397.39 is: 18,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,727.82 : 34,124.39 = 13,397.39 : x
  2. Step 2: Convert to fraction form
    24,727.82/34,124.39 = 13,397.39/x
  3. Step 3: Cross multiply
    24,727.82x = 34,124.39 × 13,397.39
  4. Step 4: Simplify right side
    24,727.82x = 457,177,701.94
  5. Step 5: Solve for x
    x = 457,177,701.94/24,727.82
  6. Step 6: Final answer
    x = 18,488.40

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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.