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Finding the Fourth Proportional to 16,007.70, 24,012.83 and 4,320.75

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Solution

The fourth proportional to 16,007.70, 24,012.83 and 4,320.75 is: 6,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.70 : 24,012.83 = 4,320.75 : x
  2. Step 2: Convert to fraction form
    16,007.70/24,012.83 = 4,320.75/x
  3. Step 3: Cross multiply
    16,007.70x = 24,012.83 × 4,320.75
  4. Step 4: Simplify right side
    16,007.70x = 103,753,435.22
  5. Step 5: Solve for x
    x = 103,753,435.22/16,007.70
  6. Step 6: Final answer
    x = 6,481.47

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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.