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Finding the Fourth Proportional to 22,468.29, 33,695.13 and 7,471.38

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Solution

The fourth proportional to 22,468.29, 33,695.13 and 7,471.38 is: 11,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.29 : 33,695.13 = 7,471.38 : x
  2. Step 2: Convert to fraction form
    22,468.29/33,695.13 = 7,471.38/x
  3. Step 3: Cross multiply
    22,468.29x = 33,695.13 × 7,471.38
  4. Step 4: Simplify right side
    22,468.29x = 251,749,120.38
  5. Step 5: Solve for x
    x = 251,749,120.38/22,468.29
  6. Step 6: Final answer
    x = 11,204.64

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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.