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Finding the Fourth Proportional to 15,144.25, 22,716.58 and 4,756

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Solution

The fourth proportional to 15,144.25, 22,716.58 and 4,756 is: 7,134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,144.25 : 22,716.58 = 4,756 : x
  2. Step 2: Convert to fraction form
    15,144.25/22,716.58 = 4,756/x
  3. Step 3: Cross multiply
    15,144.25x = 22,716.58 × 4,756
  4. Step 4: Simplify right side
    15,144.25x = 108,040,054.48
  5. Step 5: Solve for x
    x = 108,040,054.48/15,144.25
  6. Step 6: Final answer
    x = 7,134.06

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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.