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Finding the Fourth Proportional to 13,686.93, 20,516.73 and 11,805.20

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Solution

The fourth proportional to 13,686.93, 20,516.73 and 11,805.20 is: 17,696.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.93 : 20,516.73 = 11,805.20 : x
  2. Step 2: Convert to fraction form
    13,686.93/20,516.73 = 11,805.20/x
  3. Step 3: Cross multiply
    13,686.93x = 20,516.73 × 11,805.20
  4. Step 4: Simplify right side
    13,686.93x = 242,204,101.00
  5. Step 5: Solve for x
    x = 242,204,101.00/13,686.93
  6. Step 6: Final answer
    x = 17,696.01

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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.