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Finding the Fourth Proportional to 16,704.74, 23,051.55 and 9,149.57

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Solution

The fourth proportional to 16,704.74, 23,051.55 and 9,149.57 is: 12,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,704.74 : 23,051.55 = 9,149.57 : x
  2. Step 2: Convert to fraction form
    16,704.74/23,051.55 = 9,149.57/x
  3. Step 3: Cross multiply
    16,704.74x = 23,051.55 × 9,149.57
  4. Step 4: Simplify right side
    16,704.74x = 210,911,609.33
  5. Step 5: Solve for x
    x = 210,911,609.33/16,704.74
  6. Step 6: Final answer
    x = 12,625.86

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