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Finding the Fourth Proportional to 13,086.10, 18,057.18 and 8,846.39

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Solution

The fourth proportional to 13,086.10, 18,057.18 and 8,846.39 is: 12,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.10 : 18,057.18 = 8,846.39 : x
  2. Step 2: Convert to fraction form
    13,086.10/18,057.18 = 8,846.39/x
  3. Step 3: Cross multiply
    13,086.10x = 18,057.18 × 8,846.39
  4. Step 4: Simplify right side
    13,086.10x = 159,740,749.71
  5. Step 5: Solve for x
    x = 159,740,749.71/13,086.10
  6. Step 6: Final answer
    x = 12,206.90

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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.