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Finding the Fourth Proportional to 23,223.79, 34,822.87 and 7,424.43

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Solution

The fourth proportional to 23,223.79, 34,822.87 and 7,424.43 is: 11,132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223.79 : 34,822.87 = 7,424.43 : x
  2. Step 2: Convert to fraction form
    23,223.79/34,822.87 = 7,424.43/x
  3. Step 3: Cross multiply
    23,223.79x = 34,822.87 × 7,424.43
  4. Step 4: Simplify right side
    23,223.79x = 258,539,960.71
  5. Step 5: Solve for x
    x = 258,539,960.71/23,223.79
  6. Step 6: Final answer
    x = 11,132.55

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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.