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Finding the Fourth Proportional to 12,229.16, 18,346.12 and 5,209.06

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Solution

The fourth proportional to 12,229.16, 18,346.12 and 5,209.06 is: 7,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.16 : 18,346.12 = 5,209.06 : x
  2. Step 2: Convert to fraction form
    12,229.16/18,346.12 = 5,209.06/x
  3. Step 3: Cross multiply
    12,229.16x = 18,346.12 × 5,209.06
  4. Step 4: Simplify right side
    12,229.16x = 95,566,039.85
  5. Step 5: Solve for x
    x = 95,566,039.85/12,229.16
  6. Step 6: Final answer
    x = 7,814.60

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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.