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Finding the Fourth Proportional to 12,689.65, 19,035.02 and 3,924.73

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Solution

The fourth proportional to 12,689.65, 19,035.02 and 3,924.73 is: 5,887.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.65 : 19,035.02 = 3,924.73 : x
  2. Step 2: Convert to fraction form
    12,689.65/19,035.02 = 3,924.73/x
  3. Step 3: Cross multiply
    12,689.65x = 19,035.02 × 3,924.73
  4. Step 4: Simplify right side
    12,689.65x = 74,707,314.04
  5. Step 5: Solve for x
    x = 74,707,314.04/12,689.65
  6. Step 6: Final answer
    x = 5,887.26

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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.