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Finding the Fourth Proportional to 24,113.16, 36,174.12 and 8,319.96

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Solution

The fourth proportional to 24,113.16, 36,174.12 and 8,319.96 is: 12,481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,113.16 : 36,174.12 = 8,319.96 : x
  2. Step 2: Convert to fraction form
    24,113.16/36,174.12 = 8,319.96/x
  3. Step 3: Cross multiply
    24,113.16x = 36,174.12 × 8,319.96
  4. Step 4: Simplify right side
    24,113.16x = 300,967,231.44
  5. Step 5: Solve for x
    x = 300,967,231.44/24,113.16
  6. Step 6: Final answer
    x = 12,481.45

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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.