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Finding the Fourth Proportional to 21,308.75, 31,963.10 and 6,517.65

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Solution

The fourth proportional to 21,308.75, 31,963.10 and 6,517.65 is: 9,776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308.75 : 31,963.10 = 6,517.65 : x
  2. Step 2: Convert to fraction form
    21,308.75/31,963.10 = 6,517.65/x
  3. Step 3: Cross multiply
    21,308.75x = 31,963.10 × 6,517.65
  4. Step 4: Simplify right side
    21,308.75x = 208,324,266.13
  5. Step 5: Solve for x
    x = 208,324,266.13/21,308.75
  6. Step 6: Final answer
    x = 9,776.47

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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.