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Finding the Fourth Proportional to 16,449.48, 24,674.22 and 7,209

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Solution

The fourth proportional to 16,449.48, 24,674.22 and 7,209 is: 10,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.48 : 24,674.22 = 7,209 : x
  2. Step 2: Convert to fraction form
    16,449.48/24,674.22 = 7,209/x
  3. Step 3: Cross multiply
    16,449.48x = 24,674.22 × 7,209
  4. Step 4: Simplify right side
    16,449.48x = 177,876,451.98
  5. Step 5: Solve for x
    x = 177,876,451.98/16,449.48
  6. Step 6: Final answer
    x = 10,813.50

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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.