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Finding the Fourth Proportional to 13,563.38, 18,719.33 and 8,186.11

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Solution

The fourth proportional to 13,563.38, 18,719.33 and 8,186.11 is: 11,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.38 : 18,719.33 = 8,186.11 : x
  2. Step 2: Convert to fraction form
    13,563.38/18,719.33 = 8,186.11/x
  3. Step 3: Cross multiply
    13,563.38x = 18,719.33 × 8,186.11
  4. Step 4: Simplify right side
    13,563.38x = 153,238,406.78
  5. Step 5: Solve for x
    x = 153,238,406.78/13,563.38
  6. Step 6: Final answer
    x = 11,297.95

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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.