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Finding the Fourth Proportional to 27,822.64, 38,392.84 and 16,489.12

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Solution

The fourth proportional to 27,822.64, 38,392.84 and 16,489.12 is: 22,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.64 : 38,392.84 = 16,489.12 : x
  2. Step 2: Convert to fraction form
    27,822.64/38,392.84 = 16,489.12/x
  3. Step 3: Cross multiply
    27,822.64x = 38,392.84 × 16,489.12
  4. Step 4: Simplify right side
    27,822.64x = 633,064,145.90
  5. Step 5: Solve for x
    x = 633,064,145.90/27,822.64
  6. Step 6: Final answer
    x = 22,753.56

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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.