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Finding the Fourth Proportional to 12,230.96, 18,342.60 and 5,210.90

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Solution

The fourth proportional to 12,230.96, 18,342.60 and 5,210.90 is: 7,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.96 : 18,342.60 = 5,210.90 : x
  2. Step 2: Convert to fraction form
    12,230.96/18,342.60 = 5,210.90/x
  3. Step 3: Cross multiply
    12,230.96x = 18,342.60 × 5,210.90
  4. Step 4: Simplify right side
    12,230.96x = 95,581,454.34
  5. Step 5: Solve for x
    x = 95,581,454.34/12,230.96
  6. Step 6: Final answer
    x = 7,814.71

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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.