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Finding the Fourth Proportional to 20,842.01, 31,240.08 and 10,296.42

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Solution

The fourth proportional to 20,842.01, 31,240.08 and 10,296.42 is: 15,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.01 : 31,240.08 = 10,296.42 : x
  2. Step 2: Convert to fraction form
    20,842.01/31,240.08 = 10,296.42/x
  3. Step 3: Cross multiply
    20,842.01x = 31,240.08 × 10,296.42
  4. Step 4: Simplify right side
    20,842.01x = 321,660,984.51
  5. Step 5: Solve for x
    x = 321,660,984.51/20,842.01
  6. Step 6: Final answer
    x = 15,433.30

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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.