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Finding the Fourth Proportional to 22,374.45, 33,562.49 and 7,584.80

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Solution

The fourth proportional to 22,374.45, 33,562.49 and 7,584.80 is: 11,377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,374.45 : 33,562.49 = 7,584.80 : x
  2. Step 2: Convert to fraction form
    22,374.45/33,562.49 = 7,584.80/x
  3. Step 3: Cross multiply
    22,374.45x = 33,562.49 × 7,584.80
  4. Step 4: Simplify right side
    22,374.45x = 254,564,568.42
  5. Step 5: Solve for x
    x = 254,564,568.42/22,374.45
  6. Step 6: Final answer
    x = 11,377.47

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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.