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Finding the Fourth Proportional to 26,953.40, 40,422.31 and 9,183.66

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Solution

The fourth proportional to 26,953.40, 40,422.31 and 9,183.66 is: 13,772.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,953.40 : 40,422.31 = 9,183.66 : x
  2. Step 2: Convert to fraction form
    26,953.40/40,422.31 = 9,183.66/x
  3. Step 3: Cross multiply
    26,953.40x = 40,422.31 × 9,183.66
  4. Step 4: Simplify right side
    26,953.40x = 371,224,728.50
  5. Step 5: Solve for x
    x = 371,224,728.50/26,953.40
  6. Step 6: Final answer
    x = 13,772.84

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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.