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Finding the Fourth Proportional to 20,768.80, 31,080.30 and 14,207.80

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Solution

The fourth proportional to 20,768.80, 31,080.30 and 14,207.80 is: 21,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768.80 : 31,080.30 = 14,207.80 : x
  2. Step 2: Convert to fraction form
    20,768.80/31,080.30 = 14,207.80/x
  3. Step 3: Cross multiply
    20,768.80x = 31,080.30 × 14,207.80
  4. Step 4: Simplify right side
    20,768.80x = 441,582,686.34
  5. Step 5: Solve for x
    x = 441,582,686.34/20,768.80
  6. Step 6: Final answer
    x = 21,261.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.