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Finding the Fourth Proportional to 12,147.17, 18,214.50 and 5,567.72

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Solution

The fourth proportional to 12,147.17, 18,214.50 and 5,567.72 is: 8,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.17 : 18,214.50 = 5,567.72 : x
  2. Step 2: Convert to fraction form
    12,147.17/18,214.50 = 5,567.72/x
  3. Step 3: Cross multiply
    12,147.17x = 18,214.50 × 5,567.72
  4. Step 4: Simplify right side
    12,147.17x = 101,413,235.94
  5. Step 5: Solve for x
    x = 101,413,235.94/12,147.17
  6. Step 6: Final answer
    x = 8,348.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.