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Finding the Fourth Proportional to 21,446.38, 32,105.71 and 19,193.77

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Solution

The fourth proportional to 21,446.38, 32,105.71 and 19,193.77 is: 28,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,446.38 : 32,105.71 = 19,193.77 : x
  2. Step 2: Convert to fraction form
    21,446.38/32,105.71 = 19,193.77/x
  3. Step 3: Cross multiply
    21,446.38x = 32,105.71 × 19,193.77
  4. Step 4: Simplify right side
    21,446.38x = 616,229,613.43
  5. Step 5: Solve for x
    x = 616,229,613.43/21,446.38
  6. Step 6: Final answer
    x = 28,733.50

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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.