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Finding the Fourth Proportional to 21,721.84, 32,566.80 and 6,922.20

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Solution

The fourth proportional to 21,721.84, 32,566.80 and 6,922.20 is: 10,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,721.84 : 32,566.80 = 6,922.20 : x
  2. Step 2: Convert to fraction form
    21,721.84/32,566.80 = 6,922.20/x
  3. Step 3: Cross multiply
    21,721.84x = 32,566.80 × 6,922.20
  4. Step 4: Simplify right side
    21,721.84x = 225,433,902.96
  5. Step 5: Solve for x
    x = 225,433,902.96/21,721.84
  6. Step 6: Final answer
    x = 10,378.21

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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.