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Finding the Fourth Proportional to 21,252.88, 31,879.32 and 6,461.92

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Solution

The fourth proportional to 21,252.88, 31,879.32 and 6,461.92 is: 9,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,252.88 : 31,879.32 = 6,461.92 : x
  2. Step 2: Convert to fraction form
    21,252.88/31,879.32 = 6,461.92/x
  3. Step 3: Cross multiply
    21,252.88x = 31,879.32 × 6,461.92
  4. Step 4: Simplify right side
    21,252.88x = 206,001,615.49
  5. Step 5: Solve for x
    x = 206,001,615.49/21,252.88
  6. Step 6: Final answer
    x = 9,692.88

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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.