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Finding the Fourth Proportional to 21,120.88, 31,689.80 and 7,976.96

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Solution

The fourth proportional to 21,120.88, 31,689.80 and 7,976.96 is: 11,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,120.88 : 31,689.80 = 7,976.96 : x
  2. Step 2: Convert to fraction form
    21,120.88/31,689.80 = 7,976.96/x
  3. Step 3: Cross multiply
    21,120.88x = 31,689.80 × 7,976.96
  4. Step 4: Simplify right side
    21,120.88x = 252,788,267.01
  5. Step 5: Solve for x
    x = 252,788,267.01/21,120.88
  6. Step 6: Final answer
    x = 11,968.64

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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.