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Finding the Fourth Proportional to 24,313.72, 36,477.06 and 8,731.48

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Solution

The fourth proportional to 24,313.72, 36,477.06 and 8,731.48 is: 13,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313.72 : 36,477.06 = 8,731.48 : x
  2. Step 2: Convert to fraction form
    24,313.72/36,477.06 = 8,731.48/x
  3. Step 3: Cross multiply
    24,313.72x = 36,477.06 × 8,731.48
  4. Step 4: Simplify right side
    24,313.72x = 318,498,719.85
  5. Step 5: Solve for x
    x = 318,498,719.85/24,313.72
  6. Step 6: Final answer
    x = 13,099.55

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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.