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Finding the Fourth Proportional to 22,562.91, 33,856.61 and 9,416.43

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Solution

The fourth proportional to 22,562.91, 33,856.61 and 9,416.43 is: 14,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,562.91 : 33,856.61 = 9,416.43 : x
  2. Step 2: Convert to fraction form
    22,562.91/33,856.61 = 9,416.43/x
  3. Step 3: Cross multiply
    22,562.91x = 33,856.61 × 9,416.43
  4. Step 4: Simplify right side
    22,562.91x = 318,808,351.02
  5. Step 5: Solve for x
    x = 318,808,351.02/22,562.91
  6. Step 6: Final answer
    x = 14,129.75

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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.