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Finding the Fourth Proportional to 21,191.49, 31,786.19 and 7,867.07

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Solution

The fourth proportional to 21,191.49, 31,786.19 and 7,867.07 is: 11,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191.49 : 31,786.19 = 7,867.07 : x
  2. Step 2: Convert to fraction form
    21,191.49/31,786.19 = 7,867.07/x
  3. Step 3: Cross multiply
    21,191.49x = 31,786.19 × 7,867.07
  4. Step 4: Simplify right side
    21,191.49x = 250,064,310.99
  5. Step 5: Solve for x
    x = 250,064,310.99/21,191.49
  6. Step 6: Final answer
    x = 11,800.22

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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.