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Finding the Fourth Proportional to 21,773.50, 32,660.41 and 5,357.50

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Solution

The fourth proportional to 21,773.50, 32,660.41 and 5,357.50 is: 8,036.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,773.50 : 32,660.41 = 5,357.50 : x
  2. Step 2: Convert to fraction form
    21,773.50/32,660.41 = 5,357.50/x
  3. Step 3: Cross multiply
    21,773.50x = 32,660.41 × 5,357.50
  4. Step 4: Simplify right side
    21,773.50x = 174,978,146.58
  5. Step 5: Solve for x
    x = 174,978,146.58/21,773.50
  6. Step 6: Final answer
    x = 8,036.29

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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.