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Finding the Fourth Proportional to 22,638.78, 31,241.46 and 13,205.52

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Solution

The fourth proportional to 22,638.78, 31,241.46 and 13,205.52 is: 18,223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.78 : 31,241.46 = 13,205.52 : x
  2. Step 2: Convert to fraction form
    22,638.78/31,241.46 = 13,205.52/x
  3. Step 3: Cross multiply
    22,638.78x = 31,241.46 × 13,205.52
  4. Step 4: Simplify right side
    22,638.78x = 412,559,724.86
  5. Step 5: Solve for x
    x = 412,559,724.86/22,638.78
  6. Step 6: Final answer
    x = 18,223.58

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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.