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Finding the Fourth Proportional to 13,718.27, 18,932.17 and 8,342.81

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Solution

The fourth proportional to 13,718.27, 18,932.17 and 8,342.81 is: 11,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.27 : 18,932.17 = 8,342.81 : x
  2. Step 2: Convert to fraction form
    13,718.27/18,932.17 = 8,342.81/x
  3. Step 3: Cross multiply
    13,718.27x = 18,932.17 × 8,342.81
  4. Step 4: Simplify right side
    13,718.27x = 157,947,523.67
  5. Step 5: Solve for x
    x = 157,947,523.67/13,718.27
  6. Step 6: Final answer
    x = 11,513.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.