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Finding the Fourth Proportional to 17,794.80, 24,554.82 and 9,835.02

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Solution

The fourth proportional to 17,794.80, 24,554.82 and 9,835.02 is: 13,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,794.80 : 24,554.82 = 9,835.02 : x
  2. Step 2: Convert to fraction form
    17,794.80/24,554.82 = 9,835.02/x
  3. Step 3: Cross multiply
    17,794.80x = 24,554.82 × 9,835.02
  4. Step 4: Simplify right side
    17,794.80x = 241,497,145.80
  5. Step 5: Solve for x
    x = 241,497,145.80/17,794.80
  6. Step 6: Final answer
    x = 13,571.22

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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.