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Finding the Fourth Proportional to 17,835.67, 26,742.55 and 8,463

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Solution

The fourth proportional to 17,835.67, 26,742.55 and 8,463 is: 12,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,835.67 : 26,742.55 = 8,463 : x
  2. Step 2: Convert to fraction form
    17,835.67/26,742.55 = 8,463/x
  3. Step 3: Cross multiply
    17,835.67x = 26,742.55 × 8,463
  4. Step 4: Simplify right side
    17,835.67x = 226,322,200.65
  5. Step 5: Solve for x
    x = 226,322,200.65/17,835.67
  6. Step 6: Final answer
    x = 12,689.30

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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.