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Finding the Fourth Proportional to 16,195.74, 22,348.35 and 9,122.82

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Solution

The fourth proportional to 16,195.74, 22,348.35 and 9,122.82 is: 12,588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.74 : 22,348.35 = 9,122.82 : x
  2. Step 2: Convert to fraction form
    16,195.74/22,348.35 = 9,122.82/x
  3. Step 3: Cross multiply
    16,195.74x = 22,348.35 × 9,122.82
  4. Step 4: Simplify right side
    16,195.74x = 203,879,974.35
  5. Step 5: Solve for x
    x = 203,879,974.35/16,195.74
  6. Step 6: Final answer
    x = 12,588.49

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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.