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Finding the Fourth Proportional to 21,522.33, 32,283.45 and 6,731.24

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Solution

The fourth proportional to 21,522.33, 32,283.45 and 6,731.24 is: 10,096.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522.33 : 32,283.45 = 6,731.24 : x
  2. Step 2: Convert to fraction form
    21,522.33/32,283.45 = 6,731.24/x
  3. Step 3: Cross multiply
    21,522.33x = 32,283.45 × 6,731.24
  4. Step 4: Simplify right side
    21,522.33x = 217,307,488.56
  5. Step 5: Solve for x
    x = 217,307,488.56/21,522.33
  6. Step 6: Final answer
    x = 10,096.84

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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.