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Finding the Fourth Proportional to 22,307.72, 33,455.98 and 9,163.72

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Solution

The fourth proportional to 22,307.72, 33,455.98 and 9,163.72 is: 13,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.72 : 33,455.98 = 9,163.72 : x
  2. Step 2: Convert to fraction form
    22,307.72/33,455.98 = 9,163.72/x
  3. Step 3: Cross multiply
    22,307.72x = 33,455.98 × 9,163.72
  4. Step 4: Simplify right side
    22,307.72x = 306,581,233.05
  5. Step 5: Solve for x
    x = 306,581,233.05/22,307.72
  6. Step 6: Final answer
    x = 13,743.28

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1.5x scale

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.