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Finding the Fourth Proportional to 13,166.10, 18,169.24 and 7,197.78

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Solution

The fourth proportional to 13,166.10, 18,169.24 and 7,197.78 is: 9,932.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.10 : 18,169.24 = 7,197.78 : x
  2. Step 2: Convert to fraction form
    13,166.10/18,169.24 = 7,197.78/x
  3. Step 3: Cross multiply
    13,166.10x = 18,169.24 × 7,197.78
  4. Step 4: Simplify right side
    13,166.10x = 130,778,192.29
  5. Step 5: Solve for x
    x = 130,778,192.29/13,166.10
  6. Step 6: Final answer
    x = 9,932.95

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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.