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Finding the Fourth Proportional to 13,574.77, 20,454.64 and 11,163.60

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Solution

The fourth proportional to 13,574.77, 20,454.64 and 11,163.60 is: 16,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.77 : 20,454.64 = 11,163.60 : x
  2. Step 2: Convert to fraction form
    13,574.77/20,454.64 = 11,163.60/x
  3. Step 3: Cross multiply
    13,574.77x = 20,454.64 × 11,163.60
  4. Step 4: Simplify right side
    13,574.77x = 228,347,391.20
  5. Step 5: Solve for x
    x = 228,347,391.20/13,574.77
  6. Step 6: Final answer
    x = 16,821.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.