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Finding the Fourth Proportional to 12,233.24, 18,346.02 and 5,213.20

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Solution

The fourth proportional to 12,233.24, 18,346.02 and 5,213.20 is: 7,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.24 : 18,346.02 = 5,213.20 : x
  2. Step 2: Convert to fraction form
    12,233.24/18,346.02 = 5,213.20/x
  3. Step 3: Cross multiply
    12,233.24x = 18,346.02 × 5,213.20
  4. Step 4: Simplify right side
    12,233.24x = 95,641,471.46
  5. Step 5: Solve for x
    x = 95,641,471.46/12,233.24
  6. Step 6: Final answer
    x = 7,818.16

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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.