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Finding the Fourth Proportional to 16,494.24, 24,744.24 and 7,260

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Solution

The fourth proportional to 16,494.24, 24,744.24 and 7,260 is: 10,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.24 : 24,744.24 = 7,260 : x
  2. Step 2: Convert to fraction form
    16,494.24/24,744.24 = 7,260/x
  3. Step 3: Cross multiply
    16,494.24x = 24,744.24 × 7,260
  4. Step 4: Simplify right side
    16,494.24x = 179,643,182.40
  5. Step 5: Solve for x
    x = 179,643,182.40/16,494.24
  6. Step 6: Final answer
    x = 10,891.27

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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.