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Finding the Fourth Proportional to 27,346.25, 37,737.84 and 14,771

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Solution

The fourth proportional to 27,346.25, 37,737.84 and 14,771 is: 20,383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346.25 : 37,737.84 = 14,771 : x
  2. Step 2: Convert to fraction form
    27,346.25/37,737.84 = 14,771/x
  3. Step 3: Cross multiply
    27,346.25x = 37,737.84 × 14,771
  4. Step 4: Simplify right side
    27,346.25x = 557,425,634.64
  5. Step 5: Solve for x
    x = 557,425,634.64/27,346.25
  6. Step 6: Final answer
    x = 20,383.99

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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.