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Finding the Fourth Proportional to 20,034.93, 27,644.46 and 12,866.13

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Solution

The fourth proportional to 20,034.93, 27,644.46 and 12,866.13 is: 17,752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,034.93 : 27,644.46 = 12,866.13 : x
  2. Step 2: Convert to fraction form
    20,034.93/27,644.46 = 12,866.13/x
  3. Step 3: Cross multiply
    20,034.93x = 27,644.46 × 12,866.13
  4. Step 4: Simplify right side
    20,034.93x = 355,677,216.14
  5. Step 5: Solve for x
    x = 355,677,216.14/20,034.93
  6. Step 6: Final answer
    x = 17,752.86

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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.