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Finding the Fourth Proportional to 21,548.87, 32,323.32 and 5,966.50

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Solution

The fourth proportional to 21,548.87, 32,323.32 and 5,966.50 is: 8,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548.87 : 32,323.32 = 5,966.50 : x
  2. Step 2: Convert to fraction form
    21,548.87/32,323.32 = 5,966.50/x
  3. Step 3: Cross multiply
    21,548.87x = 32,323.32 × 5,966.50
  4. Step 4: Simplify right side
    21,548.87x = 192,856,997.95
  5. Step 5: Solve for x
    x = 192,856,997.95/21,548.87
  6. Step 6: Final answer
    x = 8,949.75

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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.