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Finding the Fourth Proportional to 24,522, 33,840.36 and 13,344

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Solution

The fourth proportional to 24,522, 33,840.36 and 13,344 is: 18,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,522 : 33,840.36 = 13,344 : x
  2. Step 2: Convert to fraction form
    24,522/33,840.36 = 13,344/x
  3. Step 3: Cross multiply
    24,522x = 33,840.36 × 13,344
  4. Step 4: Simplify right side
    24,522x = 451,565,763.84
  5. Step 5: Solve for x
    x = 451,565,763.84/24,522
  6. Step 6: Final answer
    x = 18,414.72

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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.