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Finding the Fourth Proportional to 22,505.32, 33,747.72 and 9,349.84

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Solution

The fourth proportional to 22,505.32, 33,747.72 and 9,349.84 is: 14,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.32 : 33,747.72 = 9,349.84 : x
  2. Step 2: Convert to fraction form
    22,505.32/33,747.72 = 9,349.84/x
  3. Step 3: Cross multiply
    22,505.32x = 33,747.72 × 9,349.84
  4. Step 4: Simplify right side
    22,505.32x = 315,535,782.36
  5. Step 5: Solve for x
    x = 315,535,782.36/22,505.32
  6. Step 6: Final answer
    x = 14,020.50

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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.