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Finding the Fourth Proportional to 16,159.14, 22,297.82 and 9,085.41

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Solution

The fourth proportional to 16,159.14, 22,297.82 and 9,085.41 is: 12,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.14 : 22,297.82 = 9,085.41 : x
  2. Step 2: Convert to fraction form
    16,159.14/22,297.82 = 9,085.41/x
  3. Step 3: Cross multiply
    16,159.14x = 22,297.82 × 9,085.41
  4. Step 4: Simplify right side
    16,159.14x = 202,584,791.38
  5. Step 5: Solve for x
    x = 202,584,791.38/16,159.14
  6. Step 6: Final answer
    x = 12,536.85

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Why These Related Problems?

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