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Finding the Fourth Proportional to 22,636.44, 31,238.05 and 12,564.97

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Solution

The fourth proportional to 22,636.44, 31,238.05 and 12,564.97 is: 17,339.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,636.44 : 31,238.05 = 12,564.97 : x
  2. Step 2: Convert to fraction form
    22,636.44/31,238.05 = 12,564.97/x
  3. Step 3: Cross multiply
    22,636.44x = 31,238.05 × 12,564.97
  4. Step 4: Simplify right side
    22,636.44x = 392,505,161.11
  5. Step 5: Solve for x
    x = 392,505,161.11/22,636.44
  6. Step 6: Final answer
    x = 17,339.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.