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Finding the Fourth Proportional to 17,757.57, 24,509.75 and 10,682.63

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Solution

The fourth proportional to 17,757.57, 24,509.75 and 10,682.63 is: 14,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.57 : 24,509.75 = 10,682.63 : x
  2. Step 2: Convert to fraction form
    17,757.57/24,509.75 = 10,682.63/x
  3. Step 3: Cross multiply
    17,757.57x = 24,509.75 × 10,682.63
  4. Step 4: Simplify right side
    17,757.57x = 261,828,414.68
  5. Step 5: Solve for x
    x = 261,828,414.68/17,757.57
  6. Step 6: Final answer
    x = 14,744.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.