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Finding the Fourth Proportional to 13,200.15, 18,215.44 and 7,230.78

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Solution

The fourth proportional to 13,200.15, 18,215.44 and 7,230.78 is: 9,978.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.15 : 18,215.44 = 7,230.78 : x
  2. Step 2: Convert to fraction form
    13,200.15/18,215.44 = 7,230.78/x
  3. Step 3: Cross multiply
    13,200.15x = 18,215.44 × 7,230.78
  4. Step 4: Simplify right side
    13,200.15x = 131,711,839.24
  5. Step 5: Solve for x
    x = 131,711,839.24/13,200.15
  6. Step 6: Final answer
    x = 9,978.06

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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.