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Finding the Fourth Proportional to 22,404.22, 30,922.17 and 12,849.76

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Solution

The fourth proportional to 22,404.22, 30,922.17 and 12,849.76 is: 17,735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,404.22 : 30,922.17 = 12,849.76 : x
  2. Step 2: Convert to fraction form
    22,404.22/30,922.17 = 12,849.76/x
  3. Step 3: Cross multiply
    22,404.22x = 30,922.17 × 12,849.76
  4. Step 4: Simplify right side
    22,404.22x = 397,342,463.18
  5. Step 5: Solve for x
    x = 397,342,463.18/22,404.22
  6. Step 6: Final answer
    x = 17,735.16

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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.