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Finding the Fourth Proportional to 38,230.86, 57,321.45 and 13,269

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Solution

The fourth proportional to 38,230.86, 57,321.45 and 13,269 is: 19,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,230.86 : 57,321.45 = 13,269 : x
  2. Step 2: Convert to fraction form
    38,230.86/57,321.45 = 13,269/x
  3. Step 3: Cross multiply
    38,230.86x = 57,321.45 × 13,269
  4. Step 4: Simplify right side
    38,230.86x = 760,598,320.05
  5. Step 5: Solve for x
    x = 760,598,320.05/38,230.86
  6. Step 6: Final answer
    x = 19,894.88

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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.