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Finding the Fourth Proportional to 24,577.71, 33,917.22 and 13,399.71

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Solution

The fourth proportional to 24,577.71, 33,917.22 and 13,399.71 is: 18,491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,577.71 : 33,917.22 = 13,399.71 : x
  2. Step 2: Convert to fraction form
    24,577.71/33,917.22 = 13,399.71/x
  3. Step 3: Cross multiply
    24,577.71x = 33,917.22 × 13,399.71
  4. Step 4: Simplify right side
    24,577.71x = 454,480,912.01
  5. Step 5: Solve for x
    x = 454,480,912.01/24,577.71
  6. Step 6: Final answer
    x = 18,491.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.