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Finding the Fourth Proportional to 20,078.29, 27,710 and 11,694.25

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Solution

The fourth proportional to 20,078.29, 27,710 and 11,694.25 is: 16,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.29 : 27,710 = 11,694.25 : x
  2. Step 2: Convert to fraction form
    20,078.29/27,710 = 11,694.25/x
  3. Step 3: Cross multiply
    20,078.29x = 27,710 × 11,694.25
  4. Step 4: Simplify right side
    20,078.29x = 324,047,667.50
  5. Step 5: Solve for x
    x = 324,047,667.50/20,078.29
  6. Step 6: Final answer
    x = 16,139.21

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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.