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Finding the Fourth Proportional to 21,204.64, 31,791.84 and 8,045.92

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Solution

The fourth proportional to 21,204.64, 31,791.84 and 8,045.92 is: 12,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,204.64 : 31,791.84 = 8,045.92 : x
  2. Step 2: Convert to fraction form
    21,204.64/31,791.84 = 8,045.92/x
  3. Step 3: Cross multiply
    21,204.64x = 31,791.84 × 8,045.92
  4. Step 4: Simplify right side
    21,204.64x = 255,794,601.29
  5. Step 5: Solve for x
    x = 255,794,601.29/21,204.64
  6. Step 6: Final answer
    x = 12,063.14

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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.