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Finding the Fourth Proportional to 13,663.57, 20,382.14 and 13,260.73

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Solution

The fourth proportional to 13,663.57, 20,382.14 and 13,260.73 is: 19,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.57 : 20,382.14 = 13,260.73 : x
  2. Step 2: Convert to fraction form
    13,663.57/20,382.14 = 13,260.73/x
  3. Step 3: Cross multiply
    13,663.57x = 20,382.14 × 13,260.73
  4. Step 4: Simplify right side
    13,663.57x = 270,282,055.36
  5. Step 5: Solve for x
    x = 270,282,055.36/13,663.57
  6. Step 6: Final answer
    x = 19,781.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.