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Finding the Fourth Proportional to 16,523.30, 24,801.15 and 8,212.70

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Solution

The fourth proportional to 16,523.30, 24,801.15 and 8,212.70 is: 12,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.30 : 24,801.15 = 8,212.70 : x
  2. Step 2: Convert to fraction form
    16,523.30/24,801.15 = 8,212.70/x
  3. Step 3: Cross multiply
    16,523.30x = 24,801.15 × 8,212.70
  4. Step 4: Simplify right side
    16,523.30x = 203,684,404.61
  5. Step 5: Solve for x
    x = 203,684,404.61/16,523.30
  6. Step 6: Final answer
    x = 12,327.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.