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Finding the Fourth Proportional to 19,920.32, 29,884.12 and 8,234.45

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Solution

The fourth proportional to 19,920.32, 29,884.12 and 8,234.45 is: 12,353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920.32 : 29,884.12 = 8,234.45 : x
  2. Step 2: Convert to fraction form
    19,920.32/29,884.12 = 8,234.45/x
  3. Step 3: Cross multiply
    19,920.32x = 29,884.12 × 8,234.45
  4. Step 4: Simplify right side
    19,920.32x = 246,079,291.93
  5. Step 5: Solve for x
    x = 246,079,291.93/19,920.32
  6. Step 6: Final answer
    x = 12,353.18

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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.