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Finding the Fourth Proportional to 24,585, 33,930.20 and 13,976.22

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Solution

The fourth proportional to 24,585, 33,930.20 and 13,976.22 is: 19,288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,585 : 33,930.20 = 13,976.22 : x
  2. Step 2: Convert to fraction form
    24,585/33,930.20 = 13,976.22/x
  3. Step 3: Cross multiply
    24,585x = 33,930.20 × 13,976.22
  4. Step 4: Simplify right side
    24,585x = 474,215,974.78
  5. Step 5: Solve for x
    x = 474,215,974.78/24,585
  6. Step 6: Final answer
    x = 19,288.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.