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Finding the Fourth Proportional to 13,641.96, 20,462.94 and 5,845.72

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Solution

The fourth proportional to 13,641.96, 20,462.94 and 5,845.72 is: 8,768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.96 : 20,462.94 = 5,845.72 : x
  2. Step 2: Convert to fraction form
    13,641.96/20,462.94 = 5,845.72/x
  3. Step 3: Cross multiply
    13,641.96x = 20,462.94 × 5,845.72
  4. Step 4: Simplify right side
    13,641.96x = 119,620,617.62
  5. Step 5: Solve for x
    x = 119,620,617.62/13,641.96
  6. Step 6: Final answer
    x = 8,768.58

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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.