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Finding the Fourth Proportional to 16,028.24, 24,057.86 and 7,713.99

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Solution

The fourth proportional to 16,028.24, 24,057.86 and 7,713.99 is: 11,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,028.24 : 24,057.86 = 7,713.99 : x
  2. Step 2: Convert to fraction form
    16,028.24/24,057.86 = 7,713.99/x
  3. Step 3: Cross multiply
    16,028.24x = 24,057.86 × 7,713.99
  4. Step 4: Simplify right side
    16,028.24x = 185,582,052.89
  5. Step 5: Solve for x
    x = 185,582,052.89/16,028.24
  6. Step 6: Final answer
    x = 11,578.45

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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.