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Finding the Fourth Proportional to 21,884.88, 32,827.48 and 7,093.78

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Solution

The fourth proportional to 21,884.88, 32,827.48 and 7,093.78 is: 10,640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884.88 : 32,827.48 = 7,093.78 : x
  2. Step 2: Convert to fraction form
    21,884.88/32,827.48 = 7,093.78/x
  3. Step 3: Cross multiply
    21,884.88x = 32,827.48 × 7,093.78
  4. Step 4: Simplify right side
    21,884.88x = 232,870,821.27
  5. Step 5: Solve for x
    x = 232,870,821.27/21,884.88
  6. Step 6: Final answer
    x = 10,640.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.