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Finding the Fourth Proportional to 38,517.42, 57,775.95 and 12,224.22

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Solution

The fourth proportional to 38,517.42, 57,775.95 and 12,224.22 is: 18,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,517.42 : 57,775.95 = 12,224.22 : x
  2. Step 2: Convert to fraction form
    38,517.42/57,775.95 = 12,224.22/x
  3. Step 3: Cross multiply
    38,517.42x = 57,775.95 × 12,224.22
  4. Step 4: Simplify right side
    38,517.42x = 706,265,923.51
  5. Step 5: Solve for x
    x = 706,265,923.51/38,517.42
  6. Step 6: Final answer
    x = 18,336.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.