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Finding the Fourth Proportional to 12,471.69, 18,707.54 and 8,319.81

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Solution

The fourth proportional to 12,471.69, 18,707.54 and 8,319.81 is: 12,479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.69 : 18,707.54 = 8,319.81 : x
  2. Step 2: Convert to fraction form
    12,471.69/18,707.54 = 8,319.81/x
  3. Step 3: Cross multiply
    12,471.69x = 18,707.54 × 8,319.81
  4. Step 4: Simplify right side
    12,471.69x = 155,643,101.69
  5. Step 5: Solve for x
    x = 155,643,101.69/12,471.69
  6. Step 6: Final answer
    x = 12,479.71

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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.