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Finding the Fourth Proportional to 15,754.56, 21,742.26 and 8,680.98

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Solution

The fourth proportional to 15,754.56, 21,742.26 and 8,680.98 is: 11,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.56 : 21,742.26 = 8,680.98 : x
  2. Step 2: Convert to fraction form
    15,754.56/21,742.26 = 8,680.98/x
  3. Step 3: Cross multiply
    15,754.56x = 21,742.26 × 8,680.98
  4. Step 4: Simplify right side
    15,754.56x = 188,744,124.21
  5. Step 5: Solve for x
    x = 188,744,124.21/15,754.56
  6. Step 6: Final answer
    x = 11,980.29

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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.