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Finding the Fourth Proportional to 18,415.24, 27,605.70 and 7,319.80

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Solution

The fourth proportional to 18,415.24, 27,605.70 and 7,319.80 is: 10,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,415.24 : 27,605.70 = 7,319.80 : x
  2. Step 2: Convert to fraction form
    18,415.24/27,605.70 = 7,319.80/x
  3. Step 3: Cross multiply
    18,415.24x = 27,605.70 × 7,319.80
  4. Step 4: Simplify right side
    18,415.24x = 202,068,202.86
  5. Step 5: Solve for x
    x = 202,068,202.86/18,415.24
  6. Step 6: Final answer
    x = 10,972.88

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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.