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Finding the Fourth Proportional to 22,177.42, 33,266.84 and 9,691.07

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Solution

The fourth proportional to 22,177.42, 33,266.84 and 9,691.07 is: 14,536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,177.42 : 33,266.84 = 9,691.07 : x
  2. Step 2: Convert to fraction form
    22,177.42/33,266.84 = 9,691.07/x
  3. Step 3: Cross multiply
    22,177.42x = 33,266.84 × 9,691.07
  4. Step 4: Simplify right side
    22,177.42x = 322,391,060.33
  5. Step 5: Solve for x
    x = 322,391,060.33/22,177.42
  6. Step 6: Final answer
    x = 14,536.91

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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.