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Finding the Fourth Proportional to 22,349.52, 33,524.25 and 5,709.57

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Solution

The fourth proportional to 22,349.52, 33,524.25 and 5,709.57 is: 8,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,349.52 : 33,524.25 = 5,709.57 : x
  2. Step 2: Convert to fraction form
    22,349.52/33,524.25 = 5,709.57/x
  3. Step 3: Cross multiply
    22,349.52x = 33,524.25 × 5,709.57
  4. Step 4: Simplify right side
    22,349.52x = 191,409,052.07
  5. Step 5: Solve for x
    x = 191,409,052.07/22,349.52
  6. Step 6: Final answer
    x = 8,564.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.