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Finding the Fourth Proportional to 22,104.96, 30,504 and 12,033.12

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Solution

The fourth proportional to 22,104.96, 30,504 and 12,033.12 is: 16,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,104.96 : 30,504 = 12,033.12 : x
  2. Step 2: Convert to fraction form
    22,104.96/30,504 = 12,033.12/x
  3. Step 3: Cross multiply
    22,104.96x = 30,504 × 12,033.12
  4. Step 4: Simplify right side
    22,104.96x = 367,058,292.48
  5. Step 5: Solve for x
    x = 367,058,292.48/22,104.96
  6. Step 6: Final answer
    x = 16,605.25

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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.