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Finding the Fourth Proportional to 12,124.68, 16,734.78 and 7,930.50

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Solution

The fourth proportional to 12,124.68, 16,734.78 and 7,930.50 is: 10,945.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.68 : 16,734.78 = 7,930.50 : x
  2. Step 2: Convert to fraction form
    12,124.68/16,734.78 = 7,930.50/x
  3. Step 3: Cross multiply
    12,124.68x = 16,734.78 × 7,930.50
  4. Step 4: Simplify right side
    12,124.68x = 132,715,172.79
  5. Step 5: Solve for x
    x = 132,715,172.79/12,124.68
  6. Step 6: Final answer
    x = 10,945.87

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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.