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Finding the Fourth Proportional to 23,468.10, 35,202.16 and 7,896.66

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Solution

The fourth proportional to 23,468.10, 35,202.16 and 7,896.66 is: 11,844.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,468.10 : 35,202.16 = 7,896.66 : x
  2. Step 2: Convert to fraction form
    23,468.10/35,202.16 = 7,896.66/x
  3. Step 3: Cross multiply
    23,468.10x = 35,202.16 × 7,896.66
  4. Step 4: Simplify right side
    23,468.10x = 277,979,488.79
  5. Step 5: Solve for x
    x = 277,979,488.79/23,468.10
  6. Step 6: Final answer
    x = 11,844.99

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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.