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Finding the Fourth Proportional to 20,924.88, 31,391.94 and 6,889.23

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Solution

The fourth proportional to 20,924.88, 31,391.94 and 6,889.23 is: 10,335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,924.88 : 31,391.94 = 6,889.23 : x
  2. Step 2: Convert to fraction form
    20,924.88/31,391.94 = 6,889.23/x
  3. Step 3: Cross multiply
    20,924.88x = 31,391.94 × 6,889.23
  4. Step 4: Simplify right side
    20,924.88x = 216,266,294.81
  5. Step 5: Solve for x
    x = 216,266,294.81/20,924.88
  6. Step 6: Final answer
    x = 10,335.37

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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.