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Finding the Fourth Proportional to 20,870.84, 31,306.31 and 6,080.12

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Solution

The fourth proportional to 20,870.84, 31,306.31 and 6,080.12 is: 9,120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,870.84 : 31,306.31 = 6,080.12 : x
  2. Step 2: Convert to fraction form
    20,870.84/31,306.31 = 6,080.12/x
  3. Step 3: Cross multiply
    20,870.84x = 31,306.31 × 6,080.12
  4. Step 4: Simplify right side
    20,870.84x = 190,346,121.56
  5. Step 5: Solve for x
    x = 190,346,121.56/20,870.84
  6. Step 6: Final answer
    x = 9,120.19

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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.