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Finding the Fourth Proportional to 23,044.66, 34,572.03 and 7,463.86

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Solution

The fourth proportional to 23,044.66, 34,572.03 and 7,463.86 is: 11,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,044.66 : 34,572.03 = 7,463.86 : x
  2. Step 2: Convert to fraction form
    23,044.66/34,572.03 = 7,463.86/x
  3. Step 3: Cross multiply
    23,044.66x = 34,572.03 × 7,463.86
  4. Step 4: Simplify right side
    23,044.66x = 258,040,791.84
  5. Step 5: Solve for x
    x = 258,040,791.84/23,044.66
  6. Step 6: Final answer
    x = 11,197.42

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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.