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Finding the Fourth Proportional to 14,694.96, 22,046.17 and 6,803.15

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Solution

The fourth proportional to 14,694.96, 22,046.17 and 6,803.15 is: 10,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,694.96 : 22,046.17 = 6,803.15 : x
  2. Step 2: Convert to fraction form
    14,694.96/22,046.17 = 6,803.15/x
  3. Step 3: Cross multiply
    14,694.96x = 22,046.17 × 6,803.15
  4. Step 4: Simplify right side
    14,694.96x = 149,983,274.20
  5. Step 5: Solve for x
    x = 149,983,274.20/14,694.96
  6. Step 6: Final answer
    x = 10,206.44

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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.