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Finding the Fourth Proportional to 24,340.97, 33,591.47 and 13,730.37

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Solution

The fourth proportional to 24,340.97, 33,591.47 and 13,730.37 is: 18,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,340.97 : 33,591.47 = 13,730.37 : x
  2. Step 2: Convert to fraction form
    24,340.97/33,591.47 = 13,730.37/x
  3. Step 3: Cross multiply
    24,340.97x = 33,591.47 × 13,730.37
  4. Step 4: Simplify right side
    24,340.97x = 461,223,243.29
  5. Step 5: Solve for x
    x = 461,223,243.29/24,340.97
  6. Step 6: Final answer
    x = 18,948.44

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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.