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Finding the Fourth Proportional to 24,609.66, 36,891.78 and 9,815

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Solution

The fourth proportional to 24,609.66, 36,891.78 and 9,815 is: 14,713.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,609.66 : 36,891.78 = 9,815 : x
  2. Step 2: Convert to fraction form
    24,609.66/36,891.78 = 9,815/x
  3. Step 3: Cross multiply
    24,609.66x = 36,891.78 × 9,815
  4. Step 4: Simplify right side
    24,609.66x = 362,092,820.70
  5. Step 5: Solve for x
    x = 362,092,820.70/24,609.66
  6. Step 6: Final answer
    x = 14,713.44

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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.