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Finding the Fourth Proportional to 22,107.80, 30,512.94 and 12,682.52

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Solution

The fourth proportional to 22,107.80, 30,512.94 and 12,682.52 is: 17,504.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107.80 : 30,512.94 = 12,682.52 : x
  2. Step 2: Convert to fraction form
    22,107.80/30,512.94 = 12,682.52/x
  3. Step 3: Cross multiply
    22,107.80x = 30,512.94 × 12,682.52
  4. Step 4: Simplify right side
    22,107.80x = 386,980,971.81
  5. Step 5: Solve for x
    x = 386,980,971.81/22,107.80
  6. Step 6: Final answer
    x = 17,504.27

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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.