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Finding the Fourth Proportional to 13,506.55, 20,257.26 and 5,720.83

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Solution

The fourth proportional to 13,506.55, 20,257.26 and 5,720.83 is: 8,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.55 : 20,257.26 = 5,720.83 : x
  2. Step 2: Convert to fraction form
    13,506.55/20,257.26 = 5,720.83/x
  3. Step 3: Cross multiply
    13,506.55x = 20,257.26 × 5,720.83
  4. Step 4: Simplify right side
    13,506.55x = 115,888,340.73
  5. Step 5: Solve for x
    x = 115,888,340.73/13,506.55
  6. Step 6: Final answer
    x = 8,580.16

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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.