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Finding the Fourth Proportional to 11,699.65, 17,530.03 and 8,229.61

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Solution

The fourth proportional to 11,699.65, 17,530.03 and 8,229.61 is: 12,330.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.65 : 17,530.03 = 8,229.61 : x
  2. Step 2: Convert to fraction form
    11,699.65/17,530.03 = 8,229.61/x
  3. Step 3: Cross multiply
    11,699.65x = 17,530.03 × 8,229.61
  4. Step 4: Simplify right side
    11,699.65x = 144,265,310.19
  5. Step 5: Solve for x
    x = 144,265,310.19/11,699.65
  6. Step 6: Final answer
    x = 12,330.74

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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.