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Finding the Fourth Proportional to 23,221.93, 34,822.25 and 7,423.89

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Solution

The fourth proportional to 23,221.93, 34,822.25 and 7,423.89 is: 11,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,221.93 : 34,822.25 = 7,423.89 : x
  2. Step 2: Convert to fraction form
    23,221.93/34,822.25 = 7,423.89/x
  3. Step 3: Cross multiply
    23,221.93x = 34,822.25 × 7,423.89
  4. Step 4: Simplify right side
    23,221.93x = 258,516,553.55
  5. Step 5: Solve for x
    x = 258,516,553.55/23,221.93
  6. Step 6: Final answer
    x = 11,132.43

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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.