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Finding the Fourth Proportional to 14,843.21, 22,267.24 and 7,049.39

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Solution

The fourth proportional to 14,843.21, 22,267.24 and 7,049.39 is: 10,575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.21 : 22,267.24 = 7,049.39 : x
  2. Step 2: Convert to fraction form
    14,843.21/22,267.24 = 7,049.39/x
  3. Step 3: Cross multiply
    14,843.21x = 22,267.24 × 7,049.39
  4. Step 4: Simplify right side
    14,843.21x = 156,970,330.02
  5. Step 5: Solve for x
    x = 156,970,330.02/14,843.21
  6. Step 6: Final answer
    x = 10,575.23

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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.