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Finding the Fourth Proportional to 14,974.25, 22,462.46 and 5,740.25

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Solution

The fourth proportional to 14,974.25, 22,462.46 and 5,740.25 is: 8,610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974.25 : 22,462.46 = 5,740.25 : x
  2. Step 2: Convert to fraction form
    14,974.25/22,462.46 = 5,740.25/x
  3. Step 3: Cross multiply
    14,974.25x = 22,462.46 × 5,740.25
  4. Step 4: Simplify right side
    14,974.25x = 128,940,107.31
  5. Step 5: Solve for x
    x = 128,940,107.31/14,974.25
  6. Step 6: Final answer
    x = 8,610.79

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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.