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Finding the Fourth Proportional to 24,524, 33,843.12 and 13,346

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Solution

The fourth proportional to 24,524, 33,843.12 and 13,346 is: 18,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,524 : 33,843.12 = 13,346 : x
  2. Step 2: Convert to fraction form
    24,524/33,843.12 = 13,346/x
  3. Step 3: Cross multiply
    24,524x = 33,843.12 × 13,346
  4. Step 4: Simplify right side
    24,524x = 451,670,279.52
  5. Step 5: Solve for x
    x = 451,670,279.52/24,524
  6. Step 6: Final answer
    x = 18,417.48

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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.