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Finding the Fourth Proportional to 17,825.16, 24,598.42 and 9,867.21

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Solution

The fourth proportional to 17,825.16, 24,598.42 and 9,867.21 is: 13,616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.16 : 24,598.42 = 9,867.21 : x
  2. Step 2: Convert to fraction form
    17,825.16/24,598.42 = 9,867.21/x
  3. Step 3: Cross multiply
    17,825.16x = 24,598.42 × 9,867.21
  4. Step 4: Simplify right side
    17,825.16x = 242,717,880.39
  5. Step 5: Solve for x
    x = 242,717,880.39/17,825.16
  6. Step 6: Final answer
    x = 13,616.59

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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.