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Finding the Fourth Proportional to 17,043.20, 25,543.20 and 8,259.20

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Solution

The fourth proportional to 17,043.20, 25,543.20 and 8,259.20 is: 12,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,043.20 : 25,543.20 = 8,259.20 : x
  2. Step 2: Convert to fraction form
    17,043.20/25,543.20 = 8,259.20/x
  3. Step 3: Cross multiply
    17,043.20x = 25,543.20 × 8,259.20
  4. Step 4: Simplify right side
    17,043.20x = 210,966,397.44
  5. Step 5: Solve for x
    x = 210,966,397.44/17,043.20
  6. Step 6: Final answer
    x = 12,378.33

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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.