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Finding the Fourth Proportional to 12,375.50, 18,516.75 and 8,684.93

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Solution

The fourth proportional to 12,375.50, 18,516.75 and 8,684.93 is: 12,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375.50 : 18,516.75 = 8,684.93 : x
  2. Step 2: Convert to fraction form
    12,375.50/18,516.75 = 8,684.93/x
  3. Step 3: Cross multiply
    12,375.50x = 18,516.75 × 8,684.93
  4. Step 4: Simplify right side
    12,375.50x = 160,816,677.58
  5. Step 5: Solve for x
    x = 160,816,677.58/12,375.50
  6. Step 6: Final answer
    x = 12,994.76

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Why These Related Problems?

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