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Finding the Fourth Proportional to 12,161.95, 16,785.23 and 8,815.84

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Solution

The fourth proportional to 12,161.95, 16,785.23 and 8,815.84 is: 12,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.95 : 16,785.23 = 8,815.84 : x
  2. Step 2: Convert to fraction form
    12,161.95/16,785.23 = 8,815.84/x
  3. Step 3: Cross multiply
    12,161.95x = 16,785.23 × 8,815.84
  4. Step 4: Simplify right side
    12,161.95x = 147,975,816.00
  5. Step 5: Solve for x
    x = 147,975,816.00/12,161.95
  6. Step 6: Final answer
    x = 12,167.12

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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.