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Finding the Fourth Proportional to 13,162.38, 18,157.28 and 8,913.66

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Solution

The fourth proportional to 13,162.38, 18,157.28 and 8,913.66 is: 12,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.38 : 18,157.28 = 8,913.66 : x
  2. Step 2: Convert to fraction form
    13,162.38/18,157.28 = 8,913.66/x
  3. Step 3: Cross multiply
    13,162.38x = 18,157.28 × 8,913.66
  4. Step 4: Simplify right side
    13,162.38x = 161,847,775.88
  5. Step 5: Solve for x
    x = 161,847,775.88/13,162.38
  6. Step 6: Final answer
    x = 12,296.24

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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.