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Finding the Fourth Proportional to 13,717.69, 18,932.42 and 8,055.54

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Solution

The fourth proportional to 13,717.69, 18,932.42 and 8,055.54 is: 11,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.69 : 18,932.42 = 8,055.54 : x
  2. Step 2: Convert to fraction form
    13,717.69/18,932.42 = 8,055.54/x
  3. Step 3: Cross multiply
    13,717.69x = 18,932.42 × 8,055.54
  4. Step 4: Simplify right side
    13,717.69x = 152,510,819.28
  5. Step 5: Solve for x
    x = 152,510,819.28/13,717.69
  6. Step 6: Final answer
    x = 11,117.82

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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.