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Finding the Fourth Proportional to 12,673.50, 19,010.52 and 3,909.18

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Solution

The fourth proportional to 12,673.50, 19,010.52 and 3,909.18 is: 5,863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,673.50 : 19,010.52 = 3,909.18 : x
  2. Step 2: Convert to fraction form
    12,673.50/19,010.52 = 3,909.18/x
  3. Step 3: Cross multiply
    12,673.50x = 19,010.52 × 3,909.18
  4. Step 4: Simplify right side
    12,673.50x = 74,315,544.57
  5. Step 5: Solve for x
    x = 74,315,544.57/12,673.50
  6. Step 6: Final answer
    x = 5,863.85

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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.