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Finding the Fourth Proportional to 23,594.89, 35,367.73 and 9,564.60

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Solution

The fourth proportional to 23,594.89, 35,367.73 and 9,564.60 is: 14,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,594.89 : 35,367.73 = 9,564.60 : x
  2. Step 2: Convert to fraction form
    23,594.89/35,367.73 = 9,564.60/x
  3. Step 3: Cross multiply
    23,594.89x = 35,367.73 × 9,564.60
  4. Step 4: Simplify right side
    23,594.89x = 338,278,086.68
  5. Step 5: Solve for x
    x = 338,278,086.68/23,594.89
  6. Step 6: Final answer
    x = 14,336.92

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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.