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Finding the Fourth Proportional to 21,186.81, 31,770.11 and 7,850.65

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Solution

The fourth proportional to 21,186.81, 31,770.11 and 7,850.65 is: 11,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,186.81 : 31,770.11 = 7,850.65 : x
  2. Step 2: Convert to fraction form
    21,186.81/31,770.11 = 7,850.65/x
  3. Step 3: Cross multiply
    21,186.81x = 31,770.11 × 7,850.65
  4. Step 4: Simplify right side
    21,186.81x = 249,415,974.82
  5. Step 5: Solve for x
    x = 249,415,974.82/21,186.81
  6. Step 6: Final answer
    x = 11,772.23

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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.