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Finding the Fourth Proportional to 23,201.15, 34,798.49 and 7,616.75

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Solution

The fourth proportional to 23,201.15, 34,798.49 and 7,616.75 is: 11,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.15 : 34,798.49 = 7,616.75 : x
  2. Step 2: Convert to fraction form
    23,201.15/34,798.49 = 7,616.75/x
  3. Step 3: Cross multiply
    23,201.15x = 34,798.49 × 7,616.75
  4. Step 4: Simplify right side
    23,201.15x = 265,051,360.62
  5. Step 5: Solve for x
    x = 265,051,360.62/23,201.15
  6. Step 6: Final answer
    x = 11,424.06

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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.