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Finding the Fourth Proportional to 22,708.50, 34,064.67 and 6,292.50

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Solution

The fourth proportional to 22,708.50, 34,064.67 and 6,292.50 is: 9,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,708.50 : 34,064.67 = 6,292.50 : x
  2. Step 2: Convert to fraction form
    22,708.50/34,064.67 = 6,292.50/x
  3. Step 3: Cross multiply
    22,708.50x = 34,064.67 × 6,292.50
  4. Step 4: Simplify right side
    22,708.50x = 214,351,935.98
  5. Step 5: Solve for x
    x = 214,351,935.98/22,708.50
  6. Step 6: Final answer
    x = 9,439.28

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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.