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Finding the Fourth Proportional to 22,636.42, 31,237.67 and 12,564.57

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Solution

The fourth proportional to 22,636.42, 31,237.67 and 12,564.57 is: 17,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,636.42 : 31,237.67 = 12,564.57 : x
  2. Step 2: Convert to fraction form
    22,636.42/31,237.67 = 12,564.57/x
  3. Step 3: Cross multiply
    22,636.42x = 31,237.67 × 12,564.57
  4. Step 4: Simplify right side
    22,636.42x = 392,487,891.35
  5. Step 5: Solve for x
    x = 392,487,891.35/22,636.42
  6. Step 6: Final answer
    x = 17,338.78

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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.