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Finding the Fourth Proportional to 17,809.64, 24,578.52 and 9,851.99

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Solution

The fourth proportional to 17,809.64, 24,578.52 and 9,851.99 is: 13,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.64 : 24,578.52 = 9,851.99 : x
  2. Step 2: Convert to fraction form
    17,809.64/24,578.52 = 9,851.99/x
  3. Step 3: Cross multiply
    17,809.64x = 24,578.52 × 9,851.99
  4. Step 4: Simplify right side
    17,809.64x = 242,147,333.25
  5. Step 5: Solve for x
    x = 242,147,333.25/17,809.64
  6. Step 6: Final answer
    x = 13,596.42

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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.