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Finding the Fourth Proportional to 20,857.91, 31,270.41 and 10,320.48

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Solution

The fourth proportional to 20,857.91, 31,270.41 and 10,320.48 is: 15,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.91 : 31,270.41 = 10,320.48 : x
  2. Step 2: Convert to fraction form
    20,857.91/31,270.41 = 10,320.48/x
  3. Step 3: Cross multiply
    20,857.91x = 31,270.41 × 10,320.48
  4. Step 4: Simplify right side
    20,857.91x = 322,725,641.00
  5. Step 5: Solve for x
    x = 322,725,641.00/20,857.91
  6. Step 6: Final answer
    x = 15,472.58

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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.