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Finding the Fourth Proportional to 13,617.72, 18,791.82 and 7,567.68

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Solution

The fourth proportional to 13,617.72, 18,791.82 and 7,567.68 is: 10,443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,617.72 : 18,791.82 = 7,567.68 : x
  2. Step 2: Convert to fraction form
    13,617.72/18,791.82 = 7,567.68/x
  3. Step 3: Cross multiply
    13,617.72x = 18,791.82 × 7,567.68
  4. Step 4: Simplify right side
    13,617.72x = 142,210,480.38
  5. Step 5: Solve for x
    x = 142,210,480.38/13,617.72
  6. Step 6: Final answer
    x = 10,443.05

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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.