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Finding the Fourth Proportional to 16,270.68, 22,452.66 and 9,196.68

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Solution

The fourth proportional to 16,270.68, 22,452.66 and 9,196.68 is: 12,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,270.68 : 22,452.66 = 9,196.68 : x
  2. Step 2: Convert to fraction form
    16,270.68/22,452.66 = 9,196.68/x
  3. Step 3: Cross multiply
    16,270.68x = 22,452.66 × 9,196.68
  4. Step 4: Simplify right side
    16,270.68x = 206,489,929.17
  5. Step 5: Solve for x
    x = 206,489,929.17/16,270.68
  6. Step 6: Final answer
    x = 12,690.92

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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.