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Finding the Fourth Proportional to 38,178.65, 57,272.24 and 13,220.93

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Solution

The fourth proportional to 38,178.65, 57,272.24 and 13,220.93 is: 19,832.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,178.65 : 57,272.24 = 13,220.93 : x
  2. Step 2: Convert to fraction form
    38,178.65/57,272.24 = 13,220.93/x
  3. Step 3: Cross multiply
    38,178.65x = 57,272.24 × 13,220.93
  4. Step 4: Simplify right side
    38,178.65x = 757,192,452.22
  5. Step 5: Solve for x
    x = 757,192,452.22/38,178.65
  6. Step 6: Final answer
    x = 19,832.88

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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.