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Finding the Fourth Proportional to 13,287.08, 18,331.38 and 8,813

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Solution

The fourth proportional to 13,287.08, 18,331.38 and 8,813 is: 12,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,287.08 : 18,331.38 = 8,813 : x
  2. Step 2: Convert to fraction form
    13,287.08/18,331.38 = 8,813/x
  3. Step 3: Cross multiply
    13,287.08x = 18,331.38 × 8,813
  4. Step 4: Simplify right side
    13,287.08x = 161,554,451.94
  5. Step 5: Solve for x
    x = 161,554,451.94/13,287.08
  6. Step 6: Final answer
    x = 12,158.76

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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.