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Finding the Fourth Proportional to 20,843.40, 31,290.70 and 10,462.60

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Solution

The fourth proportional to 20,843.40, 31,290.70 and 10,462.60 is: 15,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.40 : 31,290.70 = 10,462.60 : x
  2. Step 2: Convert to fraction form
    20,843.40/31,290.70 = 10,462.60/x
  3. Step 3: Cross multiply
    20,843.40x = 31,290.70 × 10,462.60
  4. Step 4: Simplify right side
    20,843.40x = 327,382,077.82
  5. Step 5: Solve for x
    x = 327,382,077.82/20,843.40
  6. Step 6: Final answer
    x = 15,706.75

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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.