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Finding the Fourth Proportional to 21,816.46, 32,718.21 and 7,966.54

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Solution

The fourth proportional to 21,816.46, 32,718.21 and 7,966.54 is: 11,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816.46 : 32,718.21 = 7,966.54 : x
  2. Step 2: Convert to fraction form
    21,816.46/32,718.21 = 7,966.54/x
  3. Step 3: Cross multiply
    21,816.46x = 32,718.21 × 7,966.54
  4. Step 4: Simplify right side
    21,816.46x = 260,650,928.69
  5. Step 5: Solve for x
    x = 260,650,928.69/21,816.46
  6. Step 6: Final answer
    x = 11,947.44

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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.