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Finding the Fourth Proportional to 16,343.20, 24,506.48 and 8,023.84

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Solution

The fourth proportional to 16,343.20, 24,506.48 and 8,023.84 is: 12,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.20 : 24,506.48 = 8,023.84 : x
  2. Step 2: Convert to fraction form
    16,343.20/24,506.48 = 8,023.84/x
  3. Step 3: Cross multiply
    16,343.20x = 24,506.48 × 8,023.84
  4. Step 4: Simplify right side
    16,343.20x = 196,636,074.48
  5. Step 5: Solve for x
    x = 196,636,074.48/16,343.20
  6. Step 6: Final answer
    x = 12,031.68

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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.