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Finding the Fourth Proportional to 15,086.66, 20,819.23 and 8,372.16

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Solution

The fourth proportional to 15,086.66, 20,819.23 and 8,372.16 is: 11,553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,086.66 : 20,819.23 = 8,372.16 : x
  2. Step 2: Convert to fraction form
    15,086.66/20,819.23 = 8,372.16/x
  3. Step 3: Cross multiply
    15,086.66x = 20,819.23 × 8,372.16
  4. Step 4: Simplify right side
    15,086.66x = 174,301,903.71
  5. Step 5: Solve for x
    x = 174,301,903.71/15,086.66
  6. Step 6: Final answer
    x = 11,553.38

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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.