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Finding the Fourth Proportional to 16,706.10, 25,067.64 and 7,941.08

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Solution

The fourth proportional to 16,706.10, 25,067.64 and 7,941.08 is: 11,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.10 : 25,067.64 = 7,941.08 : x
  2. Step 2: Convert to fraction form
    16,706.10/25,067.64 = 7,941.08/x
  3. Step 3: Cross multiply
    16,706.10x = 25,067.64 × 7,941.08
  4. Step 4: Simplify right side
    16,706.10x = 199,064,134.65
  5. Step 5: Solve for x
    x = 199,064,134.65/16,706.10
  6. Step 6: Final answer
    x = 11,915.66

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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.