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Finding the Fourth Proportional to 22,581.72, 33,842.34 and 12,717

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Solution

The fourth proportional to 22,581.72, 33,842.34 and 12,717 is: 19,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,581.72 : 33,842.34 = 12,717 : x
  2. Step 2: Convert to fraction form
    22,581.72/33,842.34 = 12,717/x
  3. Step 3: Cross multiply
    22,581.72x = 33,842.34 × 12,717
  4. Step 4: Simplify right side
    22,581.72x = 430,373,037.78
  5. Step 5: Solve for x
    x = 430,373,037.78/22,581.72
  6. Step 6: Final answer
    x = 19,058.47

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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.