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Finding the Fourth Proportional to 21,760.96, 32,641.46 and 5,966.16

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Solution

The fourth proportional to 21,760.96, 32,641.46 and 5,966.16 is: 8,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,760.96 : 32,641.46 = 5,966.16 : x
  2. Step 2: Convert to fraction form
    21,760.96/32,641.46 = 5,966.16/x
  3. Step 3: Cross multiply
    21,760.96x = 32,641.46 × 5,966.16
  4. Step 4: Simplify right side
    21,760.96x = 194,744,172.99
  5. Step 5: Solve for x
    x = 194,744,172.99/21,760.96
  6. Step 6: Final answer
    x = 8,949.25

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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.