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Finding the Fourth Proportional to 22,147.86, 30,567.55 and 13,200.55

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Solution

The fourth proportional to 22,147.86, 30,567.55 and 13,200.55 is: 18,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.86 : 30,567.55 = 13,200.55 : x
  2. Step 2: Convert to fraction form
    22,147.86/30,567.55 = 13,200.55/x
  3. Step 3: Cross multiply
    22,147.86x = 30,567.55 × 13,200.55
  4. Step 4: Simplify right side
    22,147.86x = 403,508,329.73
  5. Step 5: Solve for x
    x = 403,508,329.73/22,147.86
  6. Step 6: Final answer
    x = 18,218.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.