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Finding the Fourth Proportional to 20,064.96, 27,686.28 and 12,896.46

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Solution

The fourth proportional to 20,064.96, 27,686.28 and 12,896.46 is: 17,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,064.96 : 27,686.28 = 12,896.46 : x
  2. Step 2: Convert to fraction form
    20,064.96/27,686.28 = 12,896.46/x
  3. Step 3: Cross multiply
    20,064.96x = 27,686.28 × 12,896.46
  4. Step 4: Simplify right side
    20,064.96x = 357,055,002.57
  5. Step 5: Solve for x
    x = 357,055,002.57/20,064.96
  6. Step 6: Final answer
    x = 17,794.95

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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.