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Finding the Fourth Proportional to 23,580.86, 35,375.91 and 7,785.25

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Solution

The fourth proportional to 23,580.86, 35,375.91 and 7,785.25 is: 11,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.86 : 35,375.91 = 7,785.25 : x
  2. Step 2: Convert to fraction form
    23,580.86/35,375.91 = 7,785.25/x
  3. Step 3: Cross multiply
    23,580.86x = 35,375.91 × 7,785.25
  4. Step 4: Simplify right side
    23,580.86x = 275,410,185.69
  5. Step 5: Solve for x
    x = 275,410,185.69/23,580.86
  6. Step 6: Final answer
    x = 11,679.40

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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.