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Finding the Fourth Proportional to 12,313.96, 18,470.94 and 5,744.74

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Solution

The fourth proportional to 12,313.96, 18,470.94 and 5,744.74 is: 8,617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.96 : 18,470.94 = 5,744.74 : x
  2. Step 2: Convert to fraction form
    12,313.96/18,470.94 = 5,744.74/x
  3. Step 3: Cross multiply
    12,313.96x = 18,470.94 × 5,744.74
  4. Step 4: Simplify right side
    12,313.96x = 106,110,747.86
  5. Step 5: Solve for x
    x = 106,110,747.86/12,313.96
  6. Step 6: Final answer
    x = 8,617.11

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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.