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Finding the Fourth Proportional to 17,794.34, 24,554.31 and 9,835.28

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Solution

The fourth proportional to 17,794.34, 24,554.31 and 9,835.28 is: 13,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,794.34 : 24,554.31 = 9,835.28 : x
  2. Step 2: Convert to fraction form
    17,794.34/24,554.31 = 9,835.28/x
  3. Step 3: Cross multiply
    17,794.34x = 24,554.31 × 9,835.28
  4. Step 4: Simplify right side
    17,794.34x = 241,498,514.06
  5. Step 5: Solve for x
    x = 241,498,514.06/17,794.34
  6. Step 6: Final answer
    x = 13,571.65

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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.