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Finding the Fourth Proportional to 21,884.19, 32,826.75 and 7,845.13

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Solution

The fourth proportional to 21,884.19, 32,826.75 and 7,845.13 is: 11,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884.19 : 32,826.75 = 7,845.13 : x
  2. Step 2: Convert to fraction form
    21,884.19/32,826.75 = 7,845.13/x
  3. Step 3: Cross multiply
    21,884.19x = 32,826.75 × 7,845.13
  4. Step 4: Simplify right side
    21,884.19x = 257,530,121.23
  5. Step 5: Solve for x
    x = 257,530,121.23/21,884.19
  6. Step 6: Final answer
    x = 11,767.86

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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.