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Finding the Fourth Proportional to 24,348, 33,600.27 and 13,170

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Solution

The fourth proportional to 24,348, 33,600.27 and 13,170 is: 18,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,348 : 33,600.27 = 13,170 : x
  2. Step 2: Convert to fraction form
    24,348/33,600.27 = 13,170/x
  3. Step 3: Cross multiply
    24,348x = 33,600.27 × 13,170
  4. Step 4: Simplify right side
    24,348x = 442,515,555.90
  5. Step 5: Solve for x
    x = 442,515,555.90/24,348
  6. Step 6: Final answer
    x = 18,174.62

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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.