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Finding the Fourth Proportional to 10,682.50, 16,004.30 and 10,449.22

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Solution

The fourth proportional to 10,682.50, 16,004.30 and 10,449.22 is: 15,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.50 : 16,004.30 = 10,449.22 : x
  2. Step 2: Convert to fraction form
    10,682.50/16,004.30 = 10,449.22/x
  3. Step 3: Cross multiply
    10,682.50x = 16,004.30 × 10,449.22
  4. Step 4: Simplify right side
    10,682.50x = 167,232,451.65
  5. Step 5: Solve for x
    x = 167,232,451.65/10,682.50
  6. Step 6: Final answer
    x = 15,654.80

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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.