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Finding the Fourth Proportional to 16,296.63, 24,456.61 and 6,943.20

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Solution

The fourth proportional to 16,296.63, 24,456.61 and 6,943.20 is: 10,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,296.63 : 24,456.61 = 6,943.20 : x
  2. Step 2: Convert to fraction form
    16,296.63/24,456.61 = 6,943.20/x
  3. Step 3: Cross multiply
    16,296.63x = 24,456.61 × 6,943.20
  4. Step 4: Simplify right side
    16,296.63x = 169,807,099.84
  5. Step 5: Solve for x
    x = 169,807,099.84/16,296.63
  6. Step 6: Final answer
    x = 10,419.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.