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Finding the Fourth Proportional to 22,906.64, 31,609.22 and 12,697.94

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Solution

The fourth proportional to 22,906.64, 31,609.22 and 12,697.94 is: 17,522.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.64 : 31,609.22 = 12,697.94 : x
  2. Step 2: Convert to fraction form
    22,906.64/31,609.22 = 12,697.94/x
  3. Step 3: Cross multiply
    22,906.64x = 31,609.22 × 12,697.94
  4. Step 4: Simplify right side
    22,906.64x = 401,371,979.01
  5. Step 5: Solve for x
    x = 401,371,979.01/22,906.64
  6. Step 6: Final answer
    x = 17,522.08

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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.