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Finding the Fourth Proportional to 17,131.80, 25,724.10 and 9,355.80

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Solution

The fourth proportional to 17,131.80, 25,724.10 and 9,355.80 is: 14,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,131.80 : 25,724.10 = 9,355.80 : x
  2. Step 2: Convert to fraction form
    17,131.80/25,724.10 = 9,355.80/x
  3. Step 3: Cross multiply
    17,131.80x = 25,724.10 × 9,355.80
  4. Step 4: Simplify right side
    17,131.80x = 240,669,534.78
  5. Step 5: Solve for x
    x = 240,669,534.78/17,131.80
  6. Step 6: Final answer
    x = 14,048.12

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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.