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Finding the Fourth Proportional to 21,076.63, 31,616.76 and 5,494.25

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Solution

The fourth proportional to 21,076.63, 31,616.76 and 5,494.25 is: 8,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076.63 : 31,616.76 = 5,494.25 : x
  2. Step 2: Convert to fraction form
    21,076.63/31,616.76 = 5,494.25/x
  3. Step 3: Cross multiply
    21,076.63x = 31,616.76 × 5,494.25
  4. Step 4: Simplify right side
    21,076.63x = 173,710,383.63
  5. Step 5: Solve for x
    x = 173,710,383.63/21,076.63
  6. Step 6: Final answer
    x = 8,241.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.