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Finding the Fourth Proportional to 17,376, 26,046.72 and 8,125.44

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Solution

The fourth proportional to 17,376, 26,046.72 and 8,125.44 is: 12,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,376 : 26,046.72 = 8,125.44 : x
  2. Step 2: Convert to fraction form
    17,376/26,046.72 = 8,125.44/x
  3. Step 3: Cross multiply
    17,376x = 26,046.72 × 8,125.44
  4. Step 4: Simplify right side
    17,376x = 211,641,060.56
  5. Step 5: Solve for x
    x = 211,641,060.56/17,376
  6. Step 6: Final answer
    x = 12,180.08

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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.