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Finding the Fourth Proportional to 21,338.96, 32,013.48 and 7,299.14

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Solution

The fourth proportional to 21,338.96, 32,013.48 and 7,299.14 is: 10,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338.96 : 32,013.48 = 7,299.14 : x
  2. Step 2: Convert to fraction form
    21,338.96/32,013.48 = 7,299.14/x
  3. Step 3: Cross multiply
    21,338.96x = 32,013.48 × 7,299.14
  4. Step 4: Simplify right side
    21,338.96x = 233,670,872.41
  5. Step 5: Solve for x
    x = 233,670,872.41/21,338.96
  6. Step 6: Final answer
    x = 10,950.43

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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.