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Finding the Fourth Proportional to 22,770.56, 31,423.24 and 12,698.88

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Solution

The fourth proportional to 22,770.56, 31,423.24 and 12,698.88 is: 17,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.56 : 31,423.24 = 12,698.88 : x
  2. Step 2: Convert to fraction form
    22,770.56/31,423.24 = 12,698.88/x
  3. Step 3: Cross multiply
    22,770.56x = 31,423.24 × 12,698.88
  4. Step 4: Simplify right side
    22,770.56x = 399,039,953.97
  5. Step 5: Solve for x
    x = 399,039,953.97/22,770.56
  6. Step 6: Final answer
    x = 17,524.38

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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.