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Finding the Fourth Proportional to 16,005.74, 24,007.69 and 4,912.41

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Solution

The fourth proportional to 16,005.74, 24,007.69 and 4,912.41 is: 7,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.74 : 24,007.69 = 4,912.41 : x
  2. Step 2: Convert to fraction form
    16,005.74/24,007.69 = 4,912.41/x
  3. Step 3: Cross multiply
    16,005.74x = 24,007.69 × 4,912.41
  4. Step 4: Simplify right side
    16,005.74x = 117,935,532.54
  5. Step 5: Solve for x
    x = 117,935,532.54/16,005.74
  6. Step 6: Final answer
    x = 7,368.33

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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.