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Finding the Fourth Proportional to 13,701.81, 18,895.38 and 8,325.13

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Solution

The fourth proportional to 13,701.81, 18,895.38 and 8,325.13 is: 11,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.81 : 18,895.38 = 8,325.13 : x
  2. Step 2: Convert to fraction form
    13,701.81/18,895.38 = 8,325.13/x
  3. Step 3: Cross multiply
    13,701.81x = 18,895.38 × 8,325.13
  4. Step 4: Simplify right side
    13,701.81x = 157,306,451.87
  5. Step 5: Solve for x
    x = 157,306,451.87/13,701.81
  6. Step 6: Final answer
    x = 11,480.71

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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.