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Finding the Fourth Proportional to 27,847.89, 38,426.54 and 15,912

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Solution

The fourth proportional to 27,847.89, 38,426.54 and 15,912 is: 21,956.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.89 : 38,426.54 = 15,912 : x
  2. Step 2: Convert to fraction form
    27,847.89/38,426.54 = 15,912/x
  3. Step 3: Cross multiply
    27,847.89x = 38,426.54 × 15,912
  4. Step 4: Simplify right side
    27,847.89x = 611,443,104.48
  5. Step 5: Solve for x
    x = 611,443,104.48/27,847.89
  6. Step 6: Final answer
    x = 21,956.53

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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.