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Finding the Fourth Proportional to 16,697.44, 25,055.93 and 6,174.87

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Solution

The fourth proportional to 16,697.44, 25,055.93 and 6,174.87 is: 9,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697.44 : 25,055.93 = 6,174.87 : x
  2. Step 2: Convert to fraction form
    16,697.44/25,055.93 = 6,174.87/x
  3. Step 3: Cross multiply
    16,697.44x = 25,055.93 × 6,174.87
  4. Step 4: Simplify right side
    16,697.44x = 154,717,031.96
  5. Step 5: Solve for x
    x = 154,717,031.96/16,697.44
  6. Step 6: Final answer
    x = 9,265.91

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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.