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Finding the Fourth Proportional to 21,161.55, 31,744.49 and 7,308.75

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Solution

The fourth proportional to 21,161.55, 31,744.49 and 7,308.75 is: 10,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161.55 : 31,744.49 = 7,308.75 : x
  2. Step 2: Convert to fraction form
    21,161.55/31,744.49 = 7,308.75/x
  3. Step 3: Cross multiply
    21,161.55x = 31,744.49 × 7,308.75
  4. Step 4: Simplify right side
    21,161.55x = 232,012,504.74
  5. Step 5: Solve for x
    x = 232,012,504.74/21,161.55
  6. Step 6: Final answer
    x = 10,963.87

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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.