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Finding the Fourth Proportional to 27,896.32, 38,485.78 and 17,822.15

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Solution

The fourth proportional to 27,896.32, 38,485.78 and 17,822.15 is: 24,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,896.32 : 38,485.78 = 17,822.15 : x
  2. Step 2: Convert to fraction form
    27,896.32/38,485.78 = 17,822.15/x
  3. Step 3: Cross multiply
    27,896.32x = 38,485.78 × 17,822.15
  4. Step 4: Simplify right side
    27,896.32x = 685,899,344.03
  5. Step 5: Solve for x
    x = 685,899,344.03/27,896.32
  6. Step 6: Final answer
    x = 24,587.45

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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.