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Finding the Fourth Proportional to 20,588.47, 30,882.38 and 6,548.29

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Solution

The fourth proportional to 20,588.47, 30,882.38 and 6,548.29 is: 9,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.47 : 30,882.38 = 6,548.29 : x
  2. Step 2: Convert to fraction form
    20,588.47/30,882.38 = 6,548.29/x
  3. Step 3: Cross multiply
    20,588.47x = 30,882.38 × 6,548.29
  4. Step 4: Simplify right side
    20,588.47x = 202,226,785.99
  5. Step 5: Solve for x
    x = 202,226,785.99/20,588.47
  6. Step 6: Final answer
    x = 9,822.33

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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.