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Finding the Fourth Proportional to 13,193.42, 19,791.92 and 4,430.84

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Solution

The fourth proportional to 13,193.42, 19,791.92 and 4,430.84 is: 6,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.42 : 19,791.92 = 4,430.84 : x
  2. Step 2: Convert to fraction form
    13,193.42/19,791.92 = 4,430.84/x
  3. Step 3: Cross multiply
    13,193.42x = 19,791.92 × 4,430.84
  4. Step 4: Simplify right side
    13,193.42x = 87,694,742.93
  5. Step 5: Solve for x
    x = 87,694,742.93/13,193.42
  6. Step 6: Final answer
    x = 6,646.86

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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.