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Finding the Fourth Proportional to 20,085.96, 27,731.32 and 12,919.20

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Solution

The fourth proportional to 20,085.96, 27,731.32 and 12,919.20 is: 17,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,085.96 : 27,731.32 = 12,919.20 : x
  2. Step 2: Convert to fraction form
    20,085.96/27,731.32 = 12,919.20/x
  3. Step 3: Cross multiply
    20,085.96x = 27,731.32 × 12,919.20
  4. Step 4: Simplify right side
    20,085.96x = 358,266,469.34
  5. Step 5: Solve for x
    x = 358,266,469.34/20,085.96
  6. Step 6: Final answer
    x = 17,836.66

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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.