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Finding the Fourth Proportional to 12,185.46, 16,818.49 and 7,150.81

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Solution

The fourth proportional to 12,185.46, 16,818.49 and 7,150.81 is: 9,869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.46 : 16,818.49 = 7,150.81 : x
  2. Step 2: Convert to fraction form
    12,185.46/16,818.49 = 7,150.81/x
  3. Step 3: Cross multiply
    12,185.46x = 16,818.49 × 7,150.81
  4. Step 4: Simplify right side
    12,185.46x = 120,265,737.38
  5. Step 5: Solve for x
    x = 120,265,737.38/12,185.46
  6. Step 6: Final answer
    x = 9,869.61

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Why These Related Problems?

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