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Finding the Fourth Proportional to 24,271, 33,493.17 and 13,660

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Solution

The fourth proportional to 24,271, 33,493.17 and 13,660 is: 18,850.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,271 : 33,493.17 = 13,660 : x
  2. Step 2: Convert to fraction form
    24,271/33,493.17 = 13,660/x
  3. Step 3: Cross multiply
    24,271x = 33,493.17 × 13,660
  4. Step 4: Simplify right side
    24,271x = 457,516,702.20
  5. Step 5: Solve for x
    x = 457,516,702.20/24,271
  6. Step 6: Final answer
    x = 18,850.34

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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.