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Finding the Fourth Proportional to 24,314.14, 36,471.21 and 5,846.14

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Solution

The fourth proportional to 24,314.14, 36,471.21 and 5,846.14 is: 8,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.14 : 36,471.21 = 5,846.14 : x
  2. Step 2: Convert to fraction form
    24,314.14/36,471.21 = 5,846.14/x
  3. Step 3: Cross multiply
    24,314.14x = 36,471.21 × 5,846.14
  4. Step 4: Simplify right side
    24,314.14x = 213,215,799.63
  5. Step 5: Solve for x
    x = 213,215,799.63/24,314.14
  6. Step 6: Final answer
    x = 8,769.21

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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.