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Finding the Fourth Proportional to 24,542, 33,868.72 and 13,364.72

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Solution

The fourth proportional to 24,542, 33,868.72 and 13,364.72 is: 18,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,542 : 33,868.72 = 13,364.72 : x
  2. Step 2: Convert to fraction form
    24,542/33,868.72 = 13,364.72/x
  3. Step 3: Cross multiply
    24,542x = 33,868.72 × 13,364.72
  4. Step 4: Simplify right side
    24,542x = 452,645,959.56
  5. Step 5: Solve for x
    x = 452,645,959.56/24,542
  6. Step 6: Final answer
    x = 18,443.73

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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.