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Finding the Fourth Proportional to 13,523.76, 20,258.10 and 11,033.82

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Solution

The fourth proportional to 13,523.76, 20,258.10 and 11,033.82 is: 16,528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.76 : 20,258.10 = 11,033.82 : x
  2. Step 2: Convert to fraction form
    13,523.76/20,258.10 = 11,033.82/x
  3. Step 3: Cross multiply
    13,523.76x = 20,258.10 × 11,033.82
  4. Step 4: Simplify right side
    13,523.76x = 223,524,228.94
  5. Step 5: Solve for x
    x = 223,524,228.94/13,523.76
  6. Step 6: Final answer
    x = 16,528.26

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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.