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Finding the Fourth Proportional to 23,137.44, 34,711.64 and 7,555

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Solution

The fourth proportional to 23,137.44, 34,711.64 and 7,555 is: 11,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,137.44 : 34,711.64 = 7,555 : x
  2. Step 2: Convert to fraction form
    23,137.44/34,711.64 = 7,555/x
  3. Step 3: Cross multiply
    23,137.44x = 34,711.64 × 7,555
  4. Step 4: Simplify right side
    23,137.44x = 262,246,440.20
  5. Step 5: Solve for x
    x = 262,246,440.20/23,137.44
  6. Step 6: Final answer
    x = 11,334.29

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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.