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Finding the Fourth Proportional to 38,274.75, 57,389.50 and 14,584.14

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Solution

The fourth proportional to 38,274.75, 57,389.50 and 14,584.14 is: 21,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,274.75 : 57,389.50 = 14,584.14 : x
  2. Step 2: Convert to fraction form
    38,274.75/57,389.50 = 14,584.14/x
  3. Step 3: Cross multiply
    38,274.75x = 57,389.50 × 14,584.14
  4. Step 4: Simplify right side
    38,274.75x = 836,976,502.53
  5. Step 5: Solve for x
    x = 836,976,502.53/38,274.75
  6. Step 6: Final answer
    x = 21,867.59

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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.