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Finding the Fourth Proportional to 22,770.27, 31,441.64 and 15,684.39

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Solution

The fourth proportional to 22,770.27, 31,441.64 and 15,684.39 is: 21,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.27 : 31,441.64 = 15,684.39 : x
  2. Step 2: Convert to fraction form
    22,770.27/31,441.64 = 15,684.39/x
  3. Step 3: Cross multiply
    22,770.27x = 31,441.64 × 15,684.39
  4. Step 4: Simplify right side
    22,770.27x = 493,142,865.58
  5. Step 5: Solve for x
    x = 493,142,865.58/22,770.27
  6. Step 6: Final answer
    x = 21,657.31

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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.