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Finding the Fourth Proportional to 21,281.50, 31,922.25 and 6,689.50

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Solution

The fourth proportional to 21,281.50, 31,922.25 and 6,689.50 is: 10,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,281.50 : 31,922.25 = 6,689.50 : x
  2. Step 2: Convert to fraction form
    21,281.50/31,922.25 = 6,689.50/x
  3. Step 3: Cross multiply
    21,281.50x = 31,922.25 × 6,689.50
  4. Step 4: Simplify right side
    21,281.50x = 213,543,891.38
  5. Step 5: Solve for x
    x = 213,543,891.38/21,281.50
  6. Step 6: Final answer
    x = 10,034.25

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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.