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Finding the Fourth Proportional to 12,790.68, 19,184.68 and 3,431.70

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Solution

The fourth proportional to 12,790.68, 19,184.68 and 3,431.70 is: 5,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,790.68 : 19,184.68 = 3,431.70 : x
  2. Step 2: Convert to fraction form
    12,790.68/19,184.68 = 3,431.70/x
  3. Step 3: Cross multiply
    12,790.68x = 19,184.68 × 3,431.70
  4. Step 4: Simplify right side
    12,790.68x = 65,835,953.27
  5. Step 5: Solve for x
    x = 65,835,953.27/12,790.68
  6. Step 6: Final answer
    x = 5,147.18

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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.