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Finding the Fourth Proportional to 13,594.68, 20,365.66 and 7,958.68

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Solution

The fourth proportional to 13,594.68, 20,365.66 and 7,958.68 is: 11,922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.68 : 20,365.66 = 7,958.68 : x
  2. Step 2: Convert to fraction form
    13,594.68/20,365.66 = 7,958.68/x
  3. Step 3: Cross multiply
    13,594.68x = 20,365.66 × 7,958.68
  4. Step 4: Simplify right side
    13,594.68x = 162,083,770.93
  5. Step 5: Solve for x
    x = 162,083,770.93/13,594.68
  6. Step 6: Final answer
    x = 11,922.59

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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.