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Finding the Fourth Proportional to 13,423.32, 18,524.38 and 8,117.20

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Solution

The fourth proportional to 13,423.32, 18,524.38 and 8,117.20 is: 11,201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.32 : 18,524.38 = 8,117.20 : x
  2. Step 2: Convert to fraction form
    13,423.32/18,524.38 = 8,117.20/x
  3. Step 3: Cross multiply
    13,423.32x = 18,524.38 × 8,117.20
  4. Step 4: Simplify right side
    13,423.32x = 150,366,097.34
  5. Step 5: Solve for x
    x = 150,366,097.34/13,423.32
  6. Step 6: Final answer
    x = 11,201.86

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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.