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Finding the Fourth Proportional to 22,859.50, 34,276.29 and 9,517.10

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Solution

The fourth proportional to 22,859.50, 34,276.29 and 9,517.10 is: 14,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,859.50 : 34,276.29 = 9,517.10 : x
  2. Step 2: Convert to fraction form
    22,859.50/34,276.29 = 9,517.10/x
  3. Step 3: Cross multiply
    22,859.50x = 34,276.29 × 9,517.10
  4. Step 4: Simplify right side
    22,859.50x = 326,210,879.56
  5. Step 5: Solve for x
    x = 326,210,879.56/22,859.50
  6. Step 6: Final answer
    x = 14,270.25

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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.