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Finding the Fourth Proportional to 17,309.20, 25,963.80 and 10,397.20

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Solution

The fourth proportional to 17,309.20, 25,963.80 and 10,397.20 is: 15,595.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,309.20 : 25,963.80 = 10,397.20 : x
  2. Step 2: Convert to fraction form
    17,309.20/25,963.80 = 10,397.20/x
  3. Step 3: Cross multiply
    17,309.20x = 25,963.80 × 10,397.20
  4. Step 4: Simplify right side
    17,309.20x = 269,950,821.36
  5. Step 5: Solve for x
    x = 269,950,821.36/17,309.20
  6. Step 6: Final answer
    x = 15,595.80

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1.5x scale

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.