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Finding the Fourth Proportional to 23,454.76, 35,146.89 and 9,400.85

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Solution

The fourth proportional to 23,454.76, 35,146.89 and 9,400.85 is: 14,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454.76 : 35,146.89 = 9,400.85 : x
  2. Step 2: Convert to fraction form
    23,454.76/35,146.89 = 9,400.85/x
  3. Step 3: Cross multiply
    23,454.76x = 35,146.89 × 9,400.85
  4. Step 4: Simplify right side
    23,454.76x = 330,410,640.86
  5. Step 5: Solve for x
    x = 330,410,640.86/23,454.76
  6. Step 6: Final answer
    x = 14,087.15

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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.