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Finding the Fourth Proportional to 24,340.92, 36,514.96 and 7,697.18

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Solution

The fourth proportional to 24,340.92, 36,514.96 and 7,697.18 is: 11,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,340.92 : 36,514.96 = 7,697.18 : x
  2. Step 2: Convert to fraction form
    24,340.92/36,514.96 = 7,697.18/x
  3. Step 3: Cross multiply
    24,340.92x = 36,514.96 × 7,697.18
  4. Step 4: Simplify right side
    24,340.92x = 281,062,219.81
  5. Step 5: Solve for x
    x = 281,062,219.81/24,340.92
  6. Step 6: Final answer
    x = 11,546.90

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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.