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Finding the Fourth Proportional to 19,965.20, 29,947.80 and 17,718.80

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Solution

The fourth proportional to 19,965.20, 29,947.80 and 17,718.80 is: 26,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,965.20 : 29,947.80 = 17,718.80 : x
  2. Step 2: Convert to fraction form
    19,965.20/29,947.80 = 17,718.80/x
  3. Step 3: Cross multiply
    19,965.20x = 29,947.80 × 17,718.80
  4. Step 4: Simplify right side
    19,965.20x = 530,639,078.64
  5. Step 5: Solve for x
    x = 530,639,078.64/19,965.20
  6. Step 6: Final answer
    x = 26,578.20

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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.