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Finding the Fourth Proportional to 23,568.87, 35,345.80 and 7,770.95

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Solution

The fourth proportional to 23,568.87, 35,345.80 and 7,770.95 is: 11,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,568.87 : 35,345.80 = 7,770.95 : x
  2. Step 2: Convert to fraction form
    23,568.87/35,345.80 = 7,770.95/x
  3. Step 3: Cross multiply
    23,568.87x = 35,345.80 × 7,770.95
  4. Step 4: Simplify right side
    23,568.87x = 274,670,608.86
  5. Step 5: Solve for x
    x = 274,670,608.86/23,568.87
  6. Step 6: Final answer
    x = 11,653.96

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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.