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Finding the Fourth Proportional to 14,144.50, 19,520.22 and 7,857.28

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Solution

The fourth proportional to 14,144.50, 19,520.22 and 7,857.28 is: 10,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.50 : 19,520.22 = 7,857.28 : x
  2. Step 2: Convert to fraction form
    14,144.50/19,520.22 = 7,857.28/x
  3. Step 3: Cross multiply
    14,144.50x = 19,520.22 × 7,857.28
  4. Step 4: Simplify right side
    14,144.50x = 153,375,834.20
  5. Step 5: Solve for x
    x = 153,375,834.20/14,144.50
  6. Step 6: Final answer
    x = 10,843.50

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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.