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Finding the Fourth Proportional to 17,138.88, 25,704.72 and 4,824

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Solution

The fourth proportional to 17,138.88, 25,704.72 and 4,824 is: 7,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.88 : 25,704.72 = 4,824 : x
  2. Step 2: Convert to fraction form
    17,138.88/25,704.72 = 4,824/x
  3. Step 3: Cross multiply
    17,138.88x = 25,704.72 × 4,824
  4. Step 4: Simplify right side
    17,138.88x = 123,999,569.28
  5. Step 5: Solve for x
    x = 123,999,569.28/17,138.88
  6. Step 6: Final answer
    x = 7,234.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.