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Finding the Fourth Proportional to 27,487.68, 37,932.84 and 14,912.16

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Solution

The fourth proportional to 27,487.68, 37,932.84 and 14,912.16 is: 20,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,487.68 : 37,932.84 = 14,912.16 : x
  2. Step 2: Convert to fraction form
    27,487.68/37,932.84 = 14,912.16/x
  3. Step 3: Cross multiply
    27,487.68x = 37,932.84 × 14,912.16
  4. Step 4: Simplify right side
    27,487.68x = 565,660,579.33
  5. Step 5: Solve for x
    x = 565,660,579.33/27,487.68
  6. Step 6: Final answer
    x = 20,578.69

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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.