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Finding the Fourth Proportional to 16,007.71, 23,996.69 and 7,118.37

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Solution

The fourth proportional to 16,007.71, 23,996.69 and 7,118.37 is: 10,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.71 : 23,996.69 = 7,118.37 : x
  2. Step 2: Convert to fraction form
    16,007.71/23,996.69 = 7,118.37/x
  3. Step 3: Cross multiply
    16,007.71x = 23,996.69 × 7,118.37
  4. Step 4: Simplify right side
    16,007.71x = 170,817,318.20
  5. Step 5: Solve for x
    x = 170,817,318.20/16,007.71
  6. Step 6: Final answer
    x = 10,670.94

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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.