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Finding the Fourth Proportional to 13,202.32, 18,219.18 and 7,234.10

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Solution

The fourth proportional to 13,202.32, 18,219.18 and 7,234.10 is: 9,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.32 : 18,219.18 = 7,234.10 : x
  2. Step 2: Convert to fraction form
    13,202.32/18,219.18 = 7,234.10/x
  3. Step 3: Cross multiply
    13,202.32x = 18,219.18 × 7,234.10
  4. Step 4: Simplify right side
    13,202.32x = 131,799,370.04
  5. Step 5: Solve for x
    x = 131,799,370.04/13,202.32
  6. Step 6: Final answer
    x = 9,983.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.