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Finding the Fourth Proportional to 24,460, 33,755.22 and 13,282

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Solution

The fourth proportional to 24,460, 33,755.22 and 13,282 is: 18,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,460 : 33,755.22 = 13,282 : x
  2. Step 2: Convert to fraction form
    24,460/33,755.22 = 13,282/x
  3. Step 3: Cross multiply
    24,460x = 33,755.22 × 13,282
  4. Step 4: Simplify right side
    24,460x = 448,336,832.04
  5. Step 5: Solve for x
    x = 448,336,832.04/24,460
  6. Step 6: Final answer
    x = 18,329.39

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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.