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Finding the Fourth Proportional to 17,750.32, 24,496.80 and 9,794.08

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Solution

The fourth proportional to 17,750.32, 24,496.80 and 9,794.08 is: 13,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,750.32 : 24,496.80 = 9,794.08 : x
  2. Step 2: Convert to fraction form
    17,750.32/24,496.80 = 9,794.08/x
  3. Step 3: Cross multiply
    17,750.32x = 24,496.80 × 9,794.08
  4. Step 4: Simplify right side
    17,750.32x = 239,923,618.94
  5. Step 5: Solve for x
    x = 239,923,618.94/17,750.32
  6. Step 6: Final answer
    x = 13,516.58

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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.