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Finding the Fourth Proportional to 16,007.82, 24,015.28 and 6,147.12

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Solution

The fourth proportional to 16,007.82, 24,015.28 and 6,147.12 is: 9,222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.82 : 24,015.28 = 6,147.12 : x
  2. Step 2: Convert to fraction form
    16,007.82/24,015.28 = 6,147.12/x
  3. Step 3: Cross multiply
    16,007.82x = 24,015.28 × 6,147.12
  4. Step 4: Simplify right side
    16,007.82x = 147,624,807.99
  5. Step 5: Solve for x
    x = 147,624,807.99/16,007.82
  6. Step 6: Final answer
    x = 9,222.04

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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.