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Finding the Fourth Proportional to 17,704.93, 24,431.86 and 9,745.62

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Solution

The fourth proportional to 17,704.93, 24,431.86 and 9,745.62 is: 13,448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.93 : 24,431.86 = 9,745.62 : x
  2. Step 2: Convert to fraction form
    17,704.93/24,431.86 = 9,745.62/x
  3. Step 3: Cross multiply
    17,704.93x = 24,431.86 × 9,745.62
  4. Step 4: Simplify right side
    17,704.93x = 238,103,623.45
  5. Step 5: Solve for x
    x = 238,103,623.45/17,704.93
  6. Step 6: Final answer
    x = 13,448.44

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1.5x scale

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.