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Finding the Fourth Proportional to 13,720.76, 20,580.72 and 5,394.77

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Solution

The fourth proportional to 13,720.76, 20,580.72 and 5,394.77 is: 8,091.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.76 : 20,580.72 = 5,394.77 : x
  2. Step 2: Convert to fraction form
    13,720.76/20,580.72 = 5,394.77/x
  3. Step 3: Cross multiply
    13,720.76x = 20,580.72 × 5,394.77
  4. Step 4: Simplify right side
    13,720.76x = 111,028,147.93
  5. Step 5: Solve for x
    x = 111,028,147.93/13,720.76
  6. Step 6: Final answer
    x = 8,091.99

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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.