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Finding the Fourth Proportional to 20,142.80, 27,801.04 and 12,870.24

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Solution

The fourth proportional to 20,142.80, 27,801.04 and 12,870.24 is: 17,763.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.80 : 27,801.04 = 12,870.24 : x
  2. Step 2: Convert to fraction form
    20,142.80/27,801.04 = 12,870.24/x
  3. Step 3: Cross multiply
    20,142.80x = 27,801.04 × 12,870.24
  4. Step 4: Simplify right side
    20,142.80x = 357,806,057.05
  5. Step 5: Solve for x
    x = 357,806,057.05/20,142.80
  6. Step 6: Final answer
    x = 17,763.47

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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.