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Finding the Fourth Proportional to 27,349, 37,741.62 and 14,773.75

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Solution

The fourth proportional to 27,349, 37,741.62 and 14,773.75 is: 20,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,349 : 37,741.62 = 14,773.75 : x
  2. Step 2: Convert to fraction form
    27,349/37,741.62 = 14,773.75/x
  3. Step 3: Cross multiply
    27,349x = 37,741.62 × 14,773.75
  4. Step 4: Simplify right side
    27,349x = 557,585,258.48
  5. Step 5: Solve for x
    x = 557,585,258.48/27,349
  6. Step 6: Final answer
    x = 20,387.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.