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Finding the Fourth Proportional to 15,734.88, 21,714 and 8,930.19

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Solution

The fourth proportional to 15,734.88, 21,714 and 8,930.19 is: 12,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.88 : 21,714 = 8,930.19 : x
  2. Step 2: Convert to fraction form
    15,734.88/21,714 = 8,930.19/x
  3. Step 3: Cross multiply
    15,734.88x = 21,714 × 8,930.19
  4. Step 4: Simplify right side
    15,734.88x = 193,910,145.66
  5. Step 5: Solve for x
    x = 193,910,145.66/15,734.88
  6. Step 6: Final answer
    x = 12,323.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.