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Finding the Fourth Proportional to 21,868.88, 32,799.81 and 7,826.30

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Solution

The fourth proportional to 21,868.88, 32,799.81 and 7,826.30 is: 11,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,868.88 : 32,799.81 = 7,826.30 : x
  2. Step 2: Convert to fraction form
    21,868.88/32,799.81 = 7,826.30/x
  3. Step 3: Cross multiply
    21,868.88x = 32,799.81 × 7,826.30
  4. Step 4: Simplify right side
    21,868.88x = 256,701,153.00
  5. Step 5: Solve for x
    x = 256,701,153.00/21,868.88
  6. Step 6: Final answer
    x = 11,738.19

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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.