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Finding the Fourth Proportional to 21,080.13, 31,617 and 7,929.44

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Solution

The fourth proportional to 21,080.13, 31,617 and 7,929.44 is: 11,892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,080.13 : 31,617 = 7,929.44 : x
  2. Step 2: Convert to fraction form
    21,080.13/31,617 = 7,929.44/x
  3. Step 3: Cross multiply
    21,080.13x = 31,617 × 7,929.44
  4. Step 4: Simplify right side
    21,080.13x = 250,705,064.96
  5. Step 5: Solve for x
    x = 250,705,064.96/21,080.13
  6. Step 6: Final answer
    x = 11,892.96

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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.