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Finding the Fourth Proportional to 27,474, 37,914.12 and 14,898.76

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Solution

The fourth proportional to 27,474, 37,914.12 and 14,898.76 is: 20,560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,474 : 37,914.12 = 14,898.76 : x
  2. Step 2: Convert to fraction form
    27,474/37,914.12 = 14,898.76/x
  3. Step 3: Cross multiply
    27,474x = 37,914.12 × 14,898.76
  4. Step 4: Simplify right side
    27,474x = 564,873,374.49
  5. Step 5: Solve for x
    x = 564,873,374.49/27,474
  6. Step 6: Final answer
    x = 20,560.29

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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.