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Finding the Fourth Proportional to 12,217.16, 18,320.34 and 5,196.90

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Solution

The fourth proportional to 12,217.16, 18,320.34 and 5,196.90 is: 7,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.16 : 18,320.34 = 5,196.90 : x
  2. Step 2: Convert to fraction form
    12,217.16/18,320.34 = 5,196.90/x
  3. Step 3: Cross multiply
    12,217.16x = 18,320.34 × 5,196.90
  4. Step 4: Simplify right side
    12,217.16x = 95,208,974.95
  5. Step 5: Solve for x
    x = 95,208,974.95/12,217.16
  6. Step 6: Final answer
    x = 7,793.05

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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.