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Finding the Fourth Proportional to 27,847.49, 38,431.56 and 15,910.57

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Solution

The fourth proportional to 27,847.49, 38,431.56 and 15,910.57 is: 21,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.49 : 38,431.56 = 15,910.57 : x
  2. Step 2: Convert to fraction form
    27,847.49/38,431.56 = 15,910.57/x
  3. Step 3: Cross multiply
    27,847.49x = 38,431.56 × 15,910.57
  4. Step 4: Simplify right side
    27,847.49x = 611,467,887.28
  5. Step 5: Solve for x
    x = 611,467,887.28/27,847.49
  6. Step 6: Final answer
    x = 21,957.74

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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.