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Finding the Fourth Proportional to 20,710.28, 31,040.76 and 11,927

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Solution

The fourth proportional to 20,710.28, 31,040.76 and 11,927 is: 17,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710.28 : 31,040.76 = 11,927 : x
  2. Step 2: Convert to fraction form
    20,710.28/31,040.76 = 11,927/x
  3. Step 3: Cross multiply
    20,710.28x = 31,040.76 × 11,927
  4. Step 4: Simplify right side
    20,710.28x = 370,223,144.52
  5. Step 5: Solve for x
    x = 370,223,144.52/20,710.28
  6. Step 6: Final answer
    x = 17,876.30

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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.