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Finding the Fourth Proportional to 22,956.36, 31,679.46 and 12,885

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Solution

The fourth proportional to 22,956.36, 31,679.46 and 12,885 is: 17,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,956.36 : 31,679.46 = 12,885 : x
  2. Step 2: Convert to fraction form
    22,956.36/31,679.46 = 12,885/x
  3. Step 3: Cross multiply
    22,956.36x = 31,679.46 × 12,885
  4. Step 4: Simplify right side
    22,956.36x = 408,189,842.10
  5. Step 5: Solve for x
    x = 408,189,842.10/22,956.36
  6. Step 6: Final answer
    x = 17,781.12

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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.