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Finding the Fourth Proportional to 38,287.41, 57,431.16 and 14,913.84

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Solution

The fourth proportional to 38,287.41, 57,431.16 and 14,913.84 is: 22,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,287.41 : 57,431.16 = 14,913.84 : x
  2. Step 2: Convert to fraction form
    38,287.41/57,431.16 = 14,913.84/x
  3. Step 3: Cross multiply
    38,287.41x = 57,431.16 × 14,913.84
  4. Step 4: Simplify right side
    38,287.41x = 856,519,131.25
  5. Step 5: Solve for x
    x = 856,519,131.25/38,287.41
  6. Step 6: Final answer
    x = 22,370.78

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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.