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Finding the Fourth Proportional to 16,536.26, 22,819.39 and 9,821.71

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Solution

The fourth proportional to 16,536.26, 22,819.39 and 9,821.71 is: 13,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.26 : 22,819.39 = 9,821.71 : x
  2. Step 2: Convert to fraction form
    16,536.26/22,819.39 = 9,821.71/x
  3. Step 3: Cross multiply
    16,536.26x = 22,819.39 × 9,821.71
  4. Step 4: Simplify right side
    16,536.26x = 224,125,434.93
  5. Step 5: Solve for x
    x = 224,125,434.93/16,536.26
  6. Step 6: Final answer
    x = 13,553.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.