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Finding the Fourth Proportional to 24,921.78, 34,392.51 and 13,591.41

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Solution

The fourth proportional to 24,921.78, 34,392.51 and 13,591.41 is: 18,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,921.78 : 34,392.51 = 13,591.41 : x
  2. Step 2: Convert to fraction form
    24,921.78/34,392.51 = 13,591.41/x
  3. Step 3: Cross multiply
    24,921.78x = 34,392.51 × 13,591.41
  4. Step 4: Simplify right side
    24,921.78x = 467,442,704.34
  5. Step 5: Solve for x
    x = 467,442,704.34/24,921.78
  6. Step 6: Final answer
    x = 18,756.39

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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.