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Finding the Fourth Proportional to 22,048.25, 30,426.89 and 11,976.86

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Solution

The fourth proportional to 22,048.25, 30,426.89 and 11,976.86 is: 16,528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,048.25 : 30,426.89 = 11,976.86 : x
  2. Step 2: Convert to fraction form
    22,048.25/30,426.89 = 11,976.86/x
  3. Step 3: Cross multiply
    22,048.25x = 30,426.89 × 11,976.86
  4. Step 4: Simplify right side
    22,048.25x = 364,418,617.95
  5. Step 5: Solve for x
    x = 364,418,617.95/22,048.25
  6. Step 6: Final answer
    x = 16,528.24

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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.