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Finding the Fourth Proportional to 22,338.64, 33,514.98 and 9,197.20

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Solution

The fourth proportional to 22,338.64, 33,514.98 and 9,197.20 is: 13,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338.64 : 33,514.98 = 9,197.20 : x
  2. Step 2: Convert to fraction form
    22,338.64/33,514.98 = 9,197.20/x
  3. Step 3: Cross multiply
    22,338.64x = 33,514.98 × 9,197.20
  4. Step 4: Simplify right side
    22,338.64x = 308,243,974.06
  5. Step 5: Solve for x
    x = 308,243,974.06/22,338.64
  6. Step 6: Final answer
    x = 13,798.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.