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Finding the Fourth Proportional to 12,707.28, 19,019.52 and 11,494.80

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Solution

The fourth proportional to 12,707.28, 19,019.52 and 11,494.80 is: 17,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.28 : 19,019.52 = 11,494.80 : x
  2. Step 2: Convert to fraction form
    12,707.28/19,019.52 = 11,494.80/x
  3. Step 3: Cross multiply
    12,707.28x = 19,019.52 × 11,494.80
  4. Step 4: Simplify right side
    12,707.28x = 218,625,578.50
  5. Step 5: Solve for x
    x = 218,625,578.50/12,707.28
  6. Step 6: Final answer
    x = 17,204.75

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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.