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Finding the Fourth Proportional to 15,220.72, 22,834.16 and 5,367

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Solution

The fourth proportional to 15,220.72, 22,834.16 and 5,367 is: 8,051.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,220.72 : 22,834.16 = 5,367 : x
  2. Step 2: Convert to fraction form
    15,220.72/22,834.16 = 5,367/x
  3. Step 3: Cross multiply
    15,220.72x = 22,834.16 × 5,367
  4. Step 4: Simplify right side
    15,220.72x = 122,550,936.72
  5. Step 5: Solve for x
    x = 122,550,936.72/15,220.72
  6. Step 6: Final answer
    x = 8,051.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.