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Finding the Fourth Proportional to 38,398.57, 57,589.22 and 13,774.57

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Solution

The fourth proportional to 38,398.57, 57,589.22 and 13,774.57 is: 20,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,398.57 : 57,589.22 = 13,774.57 : x
  2. Step 2: Convert to fraction form
    38,398.57/57,589.22 = 13,774.57/x
  3. Step 3: Cross multiply
    38,398.57x = 57,589.22 × 13,774.57
  4. Step 4: Simplify right side
    38,398.57x = 793,266,673.26
  5. Step 5: Solve for x
    x = 793,266,673.26/38,398.57
  6. Step 6: Final answer
    x = 20,658.76

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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.