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Finding the Fourth Proportional to 24,586, 33,928.68 and 13,408

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Solution

The fourth proportional to 24,586, 33,928.68 and 13,408 is: 18,503.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,586 : 33,928.68 = 13,408 : x
  2. Step 2: Convert to fraction form
    24,586/33,928.68 = 13,408/x
  3. Step 3: Cross multiply
    24,586x = 33,928.68 × 13,408
  4. Step 4: Simplify right side
    24,586x = 454,915,741.44
  5. Step 5: Solve for x
    x = 454,915,741.44/24,586
  6. Step 6: Final answer
    x = 18,503.04

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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.