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Finding the Fourth Proportional to 12,233.60, 18,344.19 and 5,210.90

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Solution

The fourth proportional to 12,233.60, 18,344.19 and 5,210.90 is: 7,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.60 : 18,344.19 = 5,210.90 : x
  2. Step 2: Convert to fraction form
    12,233.60/18,344.19 = 5,210.90/x
  3. Step 3: Cross multiply
    12,233.60x = 18,344.19 × 5,210.90
  4. Step 4: Simplify right side
    12,233.60x = 95,589,739.67
  5. Step 5: Solve for x
    x = 95,589,739.67/12,233.60
  6. Step 6: Final answer
    x = 7,813.70

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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.