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Finding the Fourth Proportional to 13,583.77, 20,379.13 and 5,261.49

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Solution

The fourth proportional to 13,583.77, 20,379.13 and 5,261.49 is: 7,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.77 : 20,379.13 = 5,261.49 : x
  2. Step 2: Convert to fraction form
    13,583.77/20,379.13 = 5,261.49/x
  3. Step 3: Cross multiply
    13,583.77x = 20,379.13 × 5,261.49
  4. Step 4: Simplify right side
    13,583.77x = 107,224,575.55
  5. Step 5: Solve for x
    x = 107,224,575.55/13,583.77
  6. Step 6: Final answer
    x = 7,893.58

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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.