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Finding the Fourth Proportional to 27,294.25, 40,865.37 and 13,938.52

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Solution

The fourth proportional to 27,294.25, 40,865.37 and 13,938.52 is: 20,868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,294.25 : 40,865.37 = 13,938.52 : x
  2. Step 2: Convert to fraction form
    27,294.25/40,865.37 = 13,938.52/x
  3. Step 3: Cross multiply
    27,294.25x = 40,865.37 × 13,938.52
  4. Step 4: Simplify right side
    27,294.25x = 569,602,777.05
  5. Step 5: Solve for x
    x = 569,602,777.05/27,294.25
  6. Step 6: Final answer
    x = 20,868.97

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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.