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Finding the Fourth Proportional to 20,114.56, 27,758.84 and 12,155.25

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Solution

The fourth proportional to 20,114.56, 27,758.84 and 12,155.25 is: 16,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114.56 : 27,758.84 = 12,155.25 : x
  2. Step 2: Convert to fraction form
    20,114.56/27,758.84 = 12,155.25/x
  3. Step 3: Cross multiply
    20,114.56x = 27,758.84 × 12,155.25
  4. Step 4: Simplify right side
    20,114.56x = 337,415,639.91
  5. Step 5: Solve for x
    x = 337,415,639.91/20,114.56
  6. Step 6: Final answer
    x = 16,774.70

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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.