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Finding the Fourth Proportional to 20,852.91, 31,279.50 and 7,001.91

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Solution

The fourth proportional to 20,852.91, 31,279.50 and 7,001.91 is: 10,502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,852.91 : 31,279.50 = 7,001.91 : x
  2. Step 2: Convert to fraction form
    20,852.91/31,279.50 = 7,001.91/x
  3. Step 3: Cross multiply
    20,852.91x = 31,279.50 × 7,001.91
  4. Step 4: Simplify right side
    20,852.91x = 219,016,243.85
  5. Step 5: Solve for x
    x = 219,016,243.85/20,852.91
  6. Step 6: Final answer
    x = 10,502.91

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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.