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Finding the Fourth Proportional to 22,571.85, 33,863.18 and 9,416.91

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Solution

The fourth proportional to 22,571.85, 33,863.18 and 9,416.91 is: 14,127.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,571.85 : 33,863.18 = 9,416.91 : x
  2. Step 2: Convert to fraction form
    22,571.85/33,863.18 = 9,416.91/x
  3. Step 3: Cross multiply
    22,571.85x = 33,863.18 × 9,416.91
  4. Step 4: Simplify right side
    22,571.85x = 318,886,471.29
  5. Step 5: Solve for x
    x = 318,886,471.29/22,571.85
  6. Step 6: Final answer
    x = 14,127.62

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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.