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Finding the Fourth Proportional to 22,153.52, 33,224.60 and 6,567.50

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Solution

The fourth proportional to 22,153.52, 33,224.60 and 6,567.50 is: 9,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,153.52 : 33,224.60 = 6,567.50 : x
  2. Step 2: Convert to fraction form
    22,153.52/33,224.60 = 6,567.50/x
  3. Step 3: Cross multiply
    22,153.52x = 33,224.60 × 6,567.50
  4. Step 4: Simplify right side
    22,153.52x = 218,202,560.50
  5. Step 5: Solve for x
    x = 218,202,560.50/22,153.52
  6. Step 6: Final answer
    x = 9,849.57

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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.