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Finding the Fourth Proportional to 22,047.49, 30,425.86 and 11,976.12

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Solution

The fourth proportional to 22,047.49, 30,425.86 and 11,976.12 is: 16,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,047.49 : 30,425.86 = 11,976.12 : x
  2. Step 2: Convert to fraction form
    22,047.49/30,425.86 = 11,976.12/x
  3. Step 3: Cross multiply
    22,047.49x = 30,425.86 × 11,976.12
  4. Step 4: Simplify right side
    22,047.49x = 364,383,750.46
  5. Step 5: Solve for x
    x = 364,383,750.46/22,047.49
  6. Step 6: Final answer
    x = 16,527.22

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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.