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Finding the Fourth Proportional to 12,234.91, 16,884.18 and 6,645.91

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Solution

The fourth proportional to 12,234.91, 16,884.18 and 6,645.91 is: 9,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.91 : 16,884.18 = 6,645.91 : x
  2. Step 2: Convert to fraction form
    12,234.91/16,884.18 = 6,645.91/x
  3. Step 3: Cross multiply
    12,234.91x = 16,884.18 × 6,645.91
  4. Step 4: Simplify right side
    12,234.91x = 112,210,740.70
  5. Step 5: Solve for x
    x = 112,210,740.70/12,234.91
  6. Step 6: Final answer
    x = 9,171.36

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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.