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Finding the Fourth Proportional to 20,195.75, 27,872.74 and 11,585.29

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Solution

The fourth proportional to 20,195.75, 27,872.74 and 11,585.29 is: 15,989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195.75 : 27,872.74 = 11,585.29 : x
  2. Step 2: Convert to fraction form
    20,195.75/27,872.74 = 11,585.29/x
  3. Step 3: Cross multiply
    20,195.75x = 27,872.74 × 11,585.29
  4. Step 4: Simplify right side
    20,195.75x = 322,913,636.63
  5. Step 5: Solve for x
    x = 322,913,636.63/20,195.75
  6. Step 6: Final answer
    x = 15,989.19

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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.