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Finding the Fourth Proportional to 16,704.24, 23,050.98 and 9,149.18

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Solution

The fourth proportional to 16,704.24, 23,050.98 and 9,149.18 is: 12,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,704.24 : 23,050.98 = 9,149.18 : x
  2. Step 2: Convert to fraction form
    16,704.24/23,050.98 = 9,149.18/x
  3. Step 3: Cross multiply
    16,704.24x = 23,050.98 × 9,149.18
  4. Step 4: Simplify right side
    16,704.24x = 210,897,514.77
  5. Step 5: Solve for x
    x = 210,897,514.77/16,704.24
  6. Step 6: Final answer
    x = 12,625.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.