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Finding the Fourth Proportional to 17,205.83, 25,786.97 and 9,814.45

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Solution

The fourth proportional to 17,205.83, 25,786.97 and 9,814.45 is: 14,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.83 : 25,786.97 = 9,814.45 : x
  2. Step 2: Convert to fraction form
    17,205.83/25,786.97 = 9,814.45/x
  3. Step 3: Cross multiply
    17,205.83x = 25,786.97 × 9,814.45
  4. Step 4: Simplify right side
    17,205.83x = 253,084,887.79
  5. Step 5: Solve for x
    x = 253,084,887.79/17,205.83
  6. Step 6: Final answer
    x = 14,709.25

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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.