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Finding the Fourth Proportional to 22,349.87, 33,524.77 and 5,709.90

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Solution

The fourth proportional to 22,349.87, 33,524.77 and 5,709.90 is: 8,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,349.87 : 33,524.77 = 5,709.90 : x
  2. Step 2: Convert to fraction form
    22,349.87/33,524.77 = 5,709.90/x
  3. Step 3: Cross multiply
    22,349.87x = 33,524.77 × 5,709.90
  4. Step 4: Simplify right side
    22,349.87x = 191,423,084.22
  5. Step 5: Solve for x
    x = 191,423,084.22/22,349.87
  6. Step 6: Final answer
    x = 8,564.84

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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.