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Finding the Fourth Proportional to 17,825.35, 24,598.09 and 9,867.41

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Solution

The fourth proportional to 17,825.35, 24,598.09 and 9,867.41 is: 13,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.35 : 24,598.09 = 9,867.41 : x
  2. Step 2: Convert to fraction form
    17,825.35/24,598.09 = 9,867.41/x
  3. Step 3: Cross multiply
    17,825.35x = 24,598.09 × 9,867.41
  4. Step 4: Simplify right side
    17,825.35x = 242,719,439.25
  5. Step 5: Solve for x
    x = 242,719,439.25/17,825.35
  6. Step 6: Final answer
    x = 13,616.53

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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.