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Finding the Fourth Proportional to 24,313.70, 36,474.39 and 10,462.82

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Solution

The fourth proportional to 24,313.70, 36,474.39 and 10,462.82 is: 15,695.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313.70 : 36,474.39 = 10,462.82 : x
  2. Step 2: Convert to fraction form
    24,313.70/36,474.39 = 10,462.82/x
  3. Step 3: Cross multiply
    24,313.70x = 36,474.39 × 10,462.82
  4. Step 4: Simplify right side
    24,313.70x = 381,624,977.18
  5. Step 5: Solve for x
    x = 381,624,977.18/24,313.70
  6. Step 6: Final answer
    x = 15,695.88

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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.