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Finding the Fourth Proportional to 22,047.68, 30,425.70 and 11,976.03

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Solution

The fourth proportional to 22,047.68, 30,425.70 and 11,976.03 is: 16,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,047.68 : 30,425.70 = 11,976.03 : x
  2. Step 2: Convert to fraction form
    22,047.68/30,425.70 = 11,976.03/x
  3. Step 3: Cross multiply
    22,047.68x = 30,425.70 × 11,976.03
  4. Step 4: Simplify right side
    22,047.68x = 364,379,095.97
  5. Step 5: Solve for x
    x = 364,379,095.97/22,047.68
  6. Step 6: Final answer
    x = 16,526.87

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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.