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Finding the Fourth Proportional to 13,791.57, 20,686.14 and 8,527.38

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Solution

The fourth proportional to 13,791.57, 20,686.14 and 8,527.38 is: 12,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.57 : 20,686.14 = 8,527.38 : x
  2. Step 2: Convert to fraction form
    13,791.57/20,686.14 = 8,527.38/x
  3. Step 3: Cross multiply
    13,791.57x = 20,686.14 × 8,527.38
  4. Step 4: Simplify right side
    13,791.57x = 176,398,576.51
  5. Step 5: Solve for x
    x = 176,398,576.51/13,791.57
  6. Step 6: Final answer
    x = 12,790.32

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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.