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Finding the Fourth Proportional to 24,447, 33,736.89 and 13,269

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Solution

The fourth proportional to 24,447, 33,736.89 and 13,269 is: 18,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,447 : 33,736.89 = 13,269 : x
  2. Step 2: Convert to fraction form
    24,447/33,736.89 = 13,269/x
  3. Step 3: Cross multiply
    24,447x = 33,736.89 × 13,269
  4. Step 4: Simplify right side
    24,447x = 447,654,793.41
  5. Step 5: Solve for x
    x = 447,654,793.41/24,447
  6. Step 6: Final answer
    x = 18,311.24

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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.