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Finding the Fourth Proportional to 23,896.62, 35,844.12 and 9,105.01

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Solution

The fourth proportional to 23,896.62, 35,844.12 and 9,105.01 is: 13,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.62 : 35,844.12 = 9,105.01 : x
  2. Step 2: Convert to fraction form
    23,896.62/35,844.12 = 9,105.01/x
  3. Step 3: Cross multiply
    23,896.62x = 35,844.12 × 9,105.01
  4. Step 4: Simplify right side
    23,896.62x = 326,360,981.43
  5. Step 5: Solve for x
    x = 326,360,981.43/23,896.62
  6. Step 6: Final answer
    x = 13,657.20

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Why These Related Problems?

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