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Finding the Fourth Proportional to 22,265.88, 30,729.77 and 12,834.51

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Solution

The fourth proportional to 22,265.88, 30,729.77 and 12,834.51 is: 17,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,265.88 : 30,729.77 = 12,834.51 : x
  2. Step 2: Convert to fraction form
    22,265.88/30,729.77 = 12,834.51/x
  3. Step 3: Cross multiply
    22,265.88x = 30,729.77 × 12,834.51
  4. Step 4: Simplify right side
    22,265.88x = 394,401,476.19
  5. Step 5: Solve for x
    x = 394,401,476.19/22,265.88
  6. Step 6: Final answer
    x = 17,713.27

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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.