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Finding the Fourth Proportional to 20,703.44, 31,042.51 and 10,160.08

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Solution

The fourth proportional to 20,703.44, 31,042.51 and 10,160.08 is: 15,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703.44 : 31,042.51 = 10,160.08 : x
  2. Step 2: Convert to fraction form
    20,703.44/31,042.51 = 10,160.08/x
  3. Step 3: Cross multiply
    20,703.44x = 31,042.51 × 10,160.08
  4. Step 4: Simplify right side
    20,703.44x = 315,394,281.99
  5. Step 5: Solve for x
    x = 315,394,281.99/20,703.44
  6. Step 6: Final answer
    x = 15,233.91

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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.