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Finding the Fourth Proportional to 22,958.78, 34,351.22 and 13,603.82

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Solution

The fourth proportional to 22,958.78, 34,351.22 and 13,603.82 is: 20,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,958.78 : 34,351.22 = 13,603.82 : x
  2. Step 2: Convert to fraction form
    22,958.78/34,351.22 = 13,603.82/x
  3. Step 3: Cross multiply
    22,958.78x = 34,351.22 × 13,603.82
  4. Step 4: Simplify right side
    22,958.78x = 467,307,675.91
  5. Step 5: Solve for x
    x = 467,307,675.91/22,958.78
  6. Step 6: Final answer
    x = 20,354.21

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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.