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Finding the Fourth Proportional to 24,787, 34,206.06 and 13,609

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Solution

The fourth proportional to 24,787, 34,206.06 and 13,609 is: 18,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,787 : 34,206.06 = 13,609 : x
  2. Step 2: Convert to fraction form
    24,787/34,206.06 = 13,609/x
  3. Step 3: Cross multiply
    24,787x = 34,206.06 × 13,609
  4. Step 4: Simplify right side
    24,787x = 465,510,270.54
  5. Step 5: Solve for x
    x = 465,510,270.54/24,787
  6. Step 6: Final answer
    x = 18,780.42

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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.