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Finding the Fourth Proportional to 21,972.56, 32,950.56 and 7,928.84

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Solution

The fourth proportional to 21,972.56, 32,950.56 and 7,928.84 is: 11,890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,972.56 : 32,950.56 = 7,928.84 : x
  2. Step 2: Convert to fraction form
    21,972.56/32,950.56 = 7,928.84/x
  3. Step 3: Cross multiply
    21,972.56x = 32,950.56 × 7,928.84
  4. Step 4: Simplify right side
    21,972.56x = 261,259,718.15
  5. Step 5: Solve for x
    x = 261,259,718.15/21,972.56
  6. Step 6: Final answer
    x = 11,890.27

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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.