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Finding the Fourth Proportional to 38,188.52, 57,264.25 and 13,229.99

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Solution

The fourth proportional to 38,188.52, 57,264.25 and 13,229.99 is: 19,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,188.52 : 57,264.25 = 13,229.99 : x
  2. Step 2: Convert to fraction form
    38,188.52/57,264.25 = 13,229.99/x
  3. Step 3: Cross multiply
    38,188.52x = 57,264.25 × 13,229.99
  4. Step 4: Simplify right side
    38,188.52x = 757,605,454.86
  5. Step 5: Solve for x
    x = 757,605,454.86/38,188.52
  6. Step 6: Final answer
    x = 19,838.57

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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.