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Finding the Fourth Proportional to 23,408.62, 32,306.88 and 13,340.69

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Solution

The fourth proportional to 23,408.62, 32,306.88 and 13,340.69 is: 18,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,408.62 : 32,306.88 = 13,340.69 : x
  2. Step 2: Convert to fraction form
    23,408.62/32,306.88 = 13,340.69/x
  3. Step 3: Cross multiply
    23,408.62x = 32,306.88 × 13,340.69
  4. Step 4: Simplify right side
    23,408.62x = 430,996,070.95
  5. Step 5: Solve for x
    x = 430,996,070.95/23,408.62
  6. Step 6: Final answer
    x = 18,411.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.