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Finding the Fourth Proportional to 16,334.08, 24,481.68 and 9,394

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Solution

The fourth proportional to 16,334.08, 24,481.68 and 9,394 is: 14,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.08 : 24,481.68 = 9,394 : x
  2. Step 2: Convert to fraction form
    16,334.08/24,481.68 = 9,394/x
  3. Step 3: Cross multiply
    16,334.08x = 24,481.68 × 9,394
  4. Step 4: Simplify right side
    16,334.08x = 229,980,901.92
  5. Step 5: Solve for x
    x = 229,980,901.92/16,334.08
  6. Step 6: Final answer
    x = 14,079.82

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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.