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Finding the Fourth Proportional to 21,970.77, 32,949.31 and 7,928.96

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Solution

The fourth proportional to 21,970.77, 32,949.31 and 7,928.96 is: 11,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.77 : 32,949.31 = 7,928.96 : x
  2. Step 2: Convert to fraction form
    21,970.77/32,949.31 = 7,928.96/x
  3. Step 3: Cross multiply
    21,970.77x = 32,949.31 × 7,928.96
  4. Step 4: Simplify right side
    21,970.77x = 261,253,761.02
  5. Step 5: Solve for x
    x = 261,253,761.02/21,970.77
  6. Step 6: Final answer
    x = 11,890.97

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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.