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Finding the Fourth Proportional to 38,123.26, 57,186.06 and 11,828.14

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Solution

The fourth proportional to 38,123.26, 57,186.06 and 11,828.14 is: 17,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,123.26 : 57,186.06 = 11,828.14 : x
  2. Step 2: Convert to fraction form
    38,123.26/57,186.06 = 11,828.14/x
  3. Step 3: Cross multiply
    38,123.26x = 57,186.06 × 11,828.14
  4. Step 4: Simplify right side
    38,123.26x = 676,404,723.73
  5. Step 5: Solve for x
    x = 676,404,723.73/38,123.26
  6. Step 6: Final answer
    x = 17,742.57

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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.