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Finding the Fourth Proportional to 12,198.86, 18,254.55 and 10,561.04

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Solution

The fourth proportional to 12,198.86, 18,254.55 and 10,561.04 is: 15,803.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.86 : 18,254.55 = 10,561.04 : x
  2. Step 2: Convert to fraction form
    12,198.86/18,254.55 = 10,561.04/x
  3. Step 3: Cross multiply
    12,198.86x = 18,254.55 × 10,561.04
  4. Step 4: Simplify right side
    12,198.86x = 192,787,032.73
  5. Step 5: Solve for x
    x = 192,787,032.73/12,198.86
  6. Step 6: Final answer
    x = 15,803.69

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