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Finding the Fourth Proportional to 23,894.88, 35,833.68 and 8,097.36

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Solution

The fourth proportional to 23,894.88, 35,833.68 and 8,097.36 is: 12,143.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.88 : 35,833.68 = 8,097.36 : x
  2. Step 2: Convert to fraction form
    23,894.88/35,833.68 = 8,097.36/x
  3. Step 3: Cross multiply
    23,894.88x = 35,833.68 × 8,097.36
  4. Step 4: Simplify right side
    23,894.88x = 290,158,207.08
  5. Step 5: Solve for x
    x = 290,158,207.08/23,894.88
  6. Step 6: Final answer
    x = 12,143.11

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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.