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Finding the Fourth Proportional to 17,809.32, 24,574.86 and 9,850.44

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Solution

The fourth proportional to 17,809.32, 24,574.86 and 9,850.44 is: 13,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.32 : 24,574.86 = 9,850.44 : x
  2. Step 2: Convert to fraction form
    17,809.32/24,574.86 = 9,850.44/x
  3. Step 3: Cross multiply
    17,809.32x = 24,574.86 × 9,850.44
  4. Step 4: Simplify right side
    17,809.32x = 242,073,183.94
  5. Step 5: Solve for x
    x = 242,073,183.94/17,809.32
  6. Step 6: Final answer
    x = 13,592.50

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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.