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Finding the Fourth Proportional to 16,199.98, 22,357.98 and 9,126.26

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Solution

The fourth proportional to 16,199.98, 22,357.98 and 9,126.26 is: 12,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.98 : 22,357.98 = 9,126.26 : x
  2. Step 2: Convert to fraction form
    16,199.98/22,357.98 = 9,126.26/x
  3. Step 3: Cross multiply
    16,199.98x = 22,357.98 × 9,126.26
  4. Step 4: Simplify right side
    16,199.98x = 204,044,738.55
  5. Step 5: Solve for x
    x = 204,044,738.55/16,199.98
  6. Step 6: Final answer
    x = 12,595.37

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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.