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Finding the Fourth Proportional to 21,331.71, 31,996.41 and 6,540.69

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Solution

The fourth proportional to 21,331.71, 31,996.41 and 6,540.69 is: 9,810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,331.71 : 31,996.41 = 6,540.69 : x
  2. Step 2: Convert to fraction form
    21,331.71/31,996.41 = 6,540.69/x
  3. Step 3: Cross multiply
    21,331.71x = 31,996.41 × 6,540.69
  4. Step 4: Simplify right side
    21,331.71x = 209,278,598.92
  5. Step 5: Solve for x
    x = 209,278,598.92/21,331.71
  6. Step 6: Final answer
    x = 9,810.68

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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.