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Finding the Fourth Proportional to 13,613.30, 18,786.13 and 7,563.41

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Solution

The fourth proportional to 13,613.30, 18,786.13 and 7,563.41 is: 10,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.30 : 18,786.13 = 7,563.41 : x
  2. Step 2: Convert to fraction form
    13,613.30/18,786.13 = 7,563.41/x
  3. Step 3: Cross multiply
    13,613.30x = 18,786.13 × 7,563.41
  4. Step 4: Simplify right side
    13,613.30x = 142,087,203.50
  5. Step 5: Solve for x
    x = 142,087,203.50/13,613.30
  6. Step 6: Final answer
    x = 10,437.38

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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.