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Finding the Fourth Proportional to 16,049.08, 24,076.64 and 7,284.61

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Solution

The fourth proportional to 16,049.08, 24,076.64 and 7,284.61 is: 10,928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.08 : 24,076.64 = 7,284.61 : x
  2. Step 2: Convert to fraction form
    16,049.08/24,076.64 = 7,284.61/x
  3. Step 3: Cross multiply
    16,049.08x = 24,076.64 × 7,284.61
  4. Step 4: Simplify right side
    16,049.08x = 175,388,932.51
  5. Step 5: Solve for x
    x = 175,388,932.51/16,049.08
  6. Step 6: Final answer
    x = 10,928.29

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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.