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Finding the Fourth Proportional to 16,007.98, 24,024.81 and 7,243.66

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Solution

The fourth proportional to 16,007.98, 24,024.81 and 7,243.66 is: 10,871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.98 : 24,024.81 = 7,243.66 : x
  2. Step 2: Convert to fraction form
    16,007.98/24,024.81 = 7,243.66/x
  3. Step 3: Cross multiply
    16,007.98x = 24,024.81 × 7,243.66
  4. Step 4: Simplify right side
    16,007.98x = 174,027,555.20
  5. Step 5: Solve for x
    x = 174,027,555.20/16,007.98
  6. Step 6: Final answer
    x = 10,871.30

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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.