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Finding the Fourth Proportional to 27,193.32, 40,797.87 and 9,664.51

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Solution

The fourth proportional to 27,193.32, 40,797.87 and 9,664.51 is: 14,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,193.32 : 40,797.87 = 9,664.51 : x
  2. Step 2: Convert to fraction form
    27,193.32/40,797.87 = 9,664.51/x
  3. Step 3: Cross multiply
    27,193.32x = 40,797.87 × 9,664.51
  4. Step 4: Simplify right side
    27,193.32x = 394,291,422.59
  5. Step 5: Solve for x
    x = 394,291,422.59/27,193.32
  6. Step 6: Final answer
    x = 14,499.57

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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.