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Finding the Fourth Proportional to 17,578.72, 24,258.47 and 9,512.20

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Solution

The fourth proportional to 17,578.72, 24,258.47 and 9,512.20 is: 13,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.72 : 24,258.47 = 9,512.20 : x
  2. Step 2: Convert to fraction form
    17,578.72/24,258.47 = 9,512.20/x
  3. Step 3: Cross multiply
    17,578.72x = 24,258.47 × 9,512.20
  4. Step 4: Simplify right side
    17,578.72x = 230,751,401.10
  5. Step 5: Solve for x
    x = 230,751,401.10/17,578.72
  6. Step 6: Final answer
    x = 13,126.75

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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.