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Finding the Fourth Proportional to 17,794.32, 24,554.03 and 9,835.46

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Solution

The fourth proportional to 17,794.32, 24,554.03 and 9,835.46 is: 13,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,794.32 : 24,554.03 = 9,835.46 : x
  2. Step 2: Convert to fraction form
    17,794.32/24,554.03 = 9,835.46/x
  3. Step 3: Cross multiply
    17,794.32x = 24,554.03 × 9,835.46
  4. Step 4: Simplify right side
    17,794.32x = 241,500,007.96
  5. Step 5: Solve for x
    x = 241,500,007.96/17,794.32
  6. Step 6: Final answer
    x = 13,571.75

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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.