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Finding the Fourth Proportional to 23,716.60, 35,575.62 and 8,134

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Solution

The fourth proportional to 23,716.60, 35,575.62 and 8,134 is: 12,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,716.60 : 35,575.62 = 8,134 : x
  2. Step 2: Convert to fraction form
    23,716.60/35,575.62 = 8,134/x
  3. Step 3: Cross multiply
    23,716.60x = 35,575.62 × 8,134
  4. Step 4: Simplify right side
    23,716.60x = 289,372,093.08
  5. Step 5: Solve for x
    x = 289,372,093.08/23,716.60
  6. Step 6: Final answer
    x = 12,201.25

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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.