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Finding the Fourth Proportional to 23,884.08, 35,836.44 and 9,097.44

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Solution

The fourth proportional to 23,884.08, 35,836.44 and 9,097.44 is: 13,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.08 : 35,836.44 = 9,097.44 : x
  2. Step 2: Convert to fraction form
    23,884.08/35,836.44 = 9,097.44/x
  3. Step 3: Cross multiply
    23,884.08x = 35,836.44 × 9,097.44
  4. Step 4: Simplify right side
    23,884.08x = 326,019,862.71
  5. Step 5: Solve for x
    x = 326,019,862.71/23,884.08
  6. Step 6: Final answer
    x = 13,650.09

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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.