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Finding the Fourth Proportional to 24,585.88, 33,930.84 and 14,517.40

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Solution

The fourth proportional to 24,585.88, 33,930.84 and 14,517.40 is: 20,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,585.88 : 33,930.84 = 14,517.40 : x
  2. Step 2: Convert to fraction form
    24,585.88/33,930.84 = 14,517.40/x
  3. Step 3: Cross multiply
    24,585.88x = 33,930.84 × 14,517.40
  4. Step 4: Simplify right side
    24,585.88x = 492,587,576.62
  5. Step 5: Solve for x
    x = 492,587,576.62/24,585.88
  6. Step 6: Final answer
    x = 20,035.39

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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.