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Finding the Fourth Proportional to 13,684.96, 20,504.94 and 5,780.98

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Solution

The fourth proportional to 13,684.96, 20,504.94 and 5,780.98 is: 8,661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.96 : 20,504.94 = 5,780.98 : x
  2. Step 2: Convert to fraction form
    13,684.96/20,504.94 = 5,780.98/x
  3. Step 3: Cross multiply
    13,684.96x = 20,504.94 × 5,780.98
  4. Step 4: Simplify right side
    13,684.96x = 118,538,648.04
  5. Step 5: Solve for x
    x = 118,538,648.04/13,684.96
  6. Step 6: Final answer
    x = 8,661.97

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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.