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Finding the Fourth Proportional to 15,891.06, 21,930.15 and 8,818.14

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Solution

The fourth proportional to 15,891.06, 21,930.15 and 8,818.14 is: 12,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.06 : 21,930.15 = 8,818.14 : x
  2. Step 2: Convert to fraction form
    15,891.06/21,930.15 = 8,818.14/x
  3. Step 3: Cross multiply
    15,891.06x = 21,930.15 × 8,818.14
  4. Step 4: Simplify right side
    15,891.06x = 193,383,023.27
  5. Step 5: Solve for x
    x = 193,383,023.27/15,891.06
  6. Step 6: Final answer
    x = 12,169.30

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1.5x scale

Why These Related Problems?

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