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Finding the Fourth Proportional to 20,143.80, 27,802.42 and 12,871.24

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Solution

The fourth proportional to 20,143.80, 27,802.42 and 12,871.24 is: 17,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.80 : 27,802.42 = 12,871.24 : x
  2. Step 2: Convert to fraction form
    20,143.80/27,802.42 = 12,871.24/x
  3. Step 3: Cross multiply
    20,143.80x = 27,802.42 × 12,871.24
  4. Step 4: Simplify right side
    20,143.80x = 357,851,620.40
  5. Step 5: Solve for x
    x = 357,851,620.40/20,143.80
  6. Step 6: Final answer
    x = 17,764.85

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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.