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Finding the Fourth Proportional to 12,233.32, 18,352.23 and 5,213.32

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Solution

The fourth proportional to 12,233.32, 18,352.23 and 5,213.32 is: 7,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.32 : 18,352.23 = 5,213.32 : x
  2. Step 2: Convert to fraction form
    12,233.32/18,352.23 = 5,213.32/x
  3. Step 3: Cross multiply
    12,233.32x = 18,352.23 × 5,213.32
  4. Step 4: Simplify right side
    12,233.32x = 95,676,047.70
  5. Step 5: Solve for x
    x = 95,676,047.70/12,233.32
  6. Step 6: Final answer
    x = 7,820.94

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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.