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Finding the Fourth Proportional to 13,505.48, 20,258.24 and 3,644.76

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Solution

The fourth proportional to 13,505.48, 20,258.24 and 3,644.76 is: 5,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.48 : 20,258.24 = 3,644.76 : x
  2. Step 2: Convert to fraction form
    13,505.48/20,258.24 = 3,644.76/x
  3. Step 3: Cross multiply
    13,505.48x = 20,258.24 × 3,644.76
  4. Step 4: Simplify right side
    13,505.48x = 73,836,404.60
  5. Step 5: Solve for x
    x = 73,836,404.60/13,505.48
  6. Step 6: Final answer
    x = 5,467.15

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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.