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Finding the Fourth Proportional to 20,896.76, 31,357.38 and 7,758.20

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Solution

The fourth proportional to 20,896.76, 31,357.38 and 7,758.20 is: 11,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.76 : 31,357.38 = 7,758.20 : x
  2. Step 2: Convert to fraction form
    20,896.76/31,357.38 = 7,758.20/x
  3. Step 3: Cross multiply
    20,896.76x = 31,357.38 × 7,758.20
  4. Step 4: Simplify right side
    20,896.76x = 243,276,825.52
  5. Step 5: Solve for x
    x = 243,276,825.52/20,896.76
  6. Step 6: Final answer
    x = 11,641.84

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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.