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Finding the Fourth Proportional to 16,697.88, 25,046.04 and 6,834.72

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Solution

The fourth proportional to 16,697.88, 25,046.04 and 6,834.72 is: 10,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697.88 : 25,046.04 = 6,834.72 : x
  2. Step 2: Convert to fraction form
    16,697.88/25,046.04 = 6,834.72/x
  3. Step 3: Cross multiply
    16,697.88x = 25,046.04 × 6,834.72
  4. Step 4: Simplify right side
    16,697.88x = 171,182,670.51
  5. Step 5: Solve for x
    x = 171,182,670.51/16,697.88
  6. Step 6: Final answer
    x = 10,251.76

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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.