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Finding the Fourth Proportional to 20,871.70, 31,312.69 and 6,080.75

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Solution

The fourth proportional to 20,871.70, 31,312.69 and 6,080.75 is: 9,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.70 : 31,312.69 = 6,080.75 : x
  2. Step 2: Convert to fraction form
    20,871.70/31,312.69 = 6,080.75/x
  3. Step 3: Cross multiply
    20,871.70x = 31,312.69 × 6,080.75
  4. Step 4: Simplify right side
    20,871.70x = 190,404,639.72
  5. Step 5: Solve for x
    x = 190,404,639.72/20,871.70
  6. Step 6: Final answer
    x = 9,122.62

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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.