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Finding the Fourth Proportional to 16,462.80, 24,702.06 and 7,696.44

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Solution

The fourth proportional to 16,462.80, 24,702.06 and 7,696.44 is: 11,548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.80 : 24,702.06 = 7,696.44 : x
  2. Step 2: Convert to fraction form
    16,462.80/24,702.06 = 7,696.44/x
  3. Step 3: Cross multiply
    16,462.80x = 24,702.06 × 7,696.44
  4. Step 4: Simplify right side
    16,462.80x = 190,117,922.67
  5. Step 5: Solve for x
    x = 190,117,922.67/16,462.80
  6. Step 6: Final answer
    x = 11,548.33

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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.