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Finding the Fourth Proportional to 13,506.77, 20,269.21 and 4,741.71

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Solution

The fourth proportional to 13,506.77, 20,269.21 and 4,741.71 is: 7,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.77 : 20,269.21 = 4,741.71 : x
  2. Step 2: Convert to fraction form
    13,506.77/20,269.21 = 4,741.71/x
  3. Step 3: Cross multiply
    13,506.77x = 20,269.21 × 4,741.71
  4. Step 4: Simplify right side
    13,506.77x = 96,110,692.04
  5. Step 5: Solve for x
    x = 96,110,692.04/13,506.77
  6. Step 6: Final answer
    x = 7,115.74

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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.