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Finding the Fourth Proportional to 24,591, 33,935.76 and 13,413

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Solution

The fourth proportional to 24,591, 33,935.76 and 13,413 is: 18,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,591 : 33,935.76 = 13,413 : x
  2. Step 2: Convert to fraction form
    24,591/33,935.76 = 13,413/x
  3. Step 3: Cross multiply
    24,591x = 33,935.76 × 13,413
  4. Step 4: Simplify right side
    24,591x = 455,180,348.88
  5. Step 5: Solve for x
    x = 455,180,348.88/24,591
  6. Step 6: Final answer
    x = 18,510.04

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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.