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Finding the Fourth Proportional to 38,249.14, 57,365.04 and 14,548.20

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Solution

The fourth proportional to 38,249.14, 57,365.04 and 14,548.20 is: 21,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,249.14 : 57,365.04 = 14,548.20 : x
  2. Step 2: Convert to fraction form
    38,249.14/57,365.04 = 14,548.20/x
  3. Step 3: Cross multiply
    38,249.14x = 57,365.04 × 14,548.20
  4. Step 4: Simplify right side
    38,249.14x = 834,558,074.93
  5. Step 5: Solve for x
    x = 834,558,074.93/38,249.14
  6. Step 6: Final answer
    x = 21,819.00

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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.