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Finding the Fourth Proportional to 20,202.71, 27,878.31 and 12,648.69

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Solution

The fourth proportional to 20,202.71, 27,878.31 and 12,648.69 is: 17,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.71 : 27,878.31 = 12,648.69 : x
  2. Step 2: Convert to fraction form
    20,202.71/27,878.31 = 12,648.69/x
  3. Step 3: Cross multiply
    20,202.71x = 27,878.31 × 12,648.69
  4. Step 4: Simplify right side
    20,202.71x = 352,624,100.91
  5. Step 5: Solve for x
    x = 352,624,100.91/20,202.71
  6. Step 6: Final answer
    x = 17,454.30

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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.