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Finding the Fourth Proportional to 17,834.30, 26,751.72 and 8,475.28

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Solution

The fourth proportional to 17,834.30, 26,751.72 and 8,475.28 is: 12,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834.30 : 26,751.72 = 8,475.28 : x
  2. Step 2: Convert to fraction form
    17,834.30/26,751.72 = 8,475.28/x
  3. Step 3: Cross multiply
    17,834.30x = 26,751.72 × 8,475.28
  4. Step 4: Simplify right side
    17,834.30x = 226,728,385.19
  5. Step 5: Solve for x
    x = 226,728,385.19/17,834.30
  6. Step 6: Final answer
    x = 12,713.05

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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.