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Finding the Fourth Proportional to 16,544.14, 22,825.74 and 9,469.20

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Solution

The fourth proportional to 16,544.14, 22,825.74 and 9,469.20 is: 13,064.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.14 : 22,825.74 = 9,469.20 : x
  2. Step 2: Convert to fraction form
    16,544.14/22,825.74 = 9,469.20/x
  3. Step 3: Cross multiply
    16,544.14x = 22,825.74 × 9,469.20
  4. Step 4: Simplify right side
    16,544.14x = 216,141,497.21
  5. Step 5: Solve for x
    x = 216,141,497.21/16,544.14
  6. Step 6: Final answer
    x = 13,064.54

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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.