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Finding the Fourth Proportional to 21,715.66, 32,578.97 and 6,133.29

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Solution

The fourth proportional to 21,715.66, 32,578.97 and 6,133.29 is: 9,201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,715.66 : 32,578.97 = 6,133.29 : x
  2. Step 2: Convert to fraction form
    21,715.66/32,578.97 = 6,133.29/x
  3. Step 3: Cross multiply
    21,715.66x = 32,578.97 × 6,133.29
  4. Step 4: Simplify right side
    21,715.66x = 199,816,270.91
  5. Step 5: Solve for x
    x = 199,816,270.91/21,715.66
  6. Step 6: Final answer
    x = 9,201.48

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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.