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Finding the Fourth Proportional to 13,505.68, 20,258.52 and 3,644.94

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Solution

The fourth proportional to 13,505.68, 20,258.52 and 3,644.94 is: 5,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.68 : 20,258.52 = 3,644.94 : x
  2. Step 2: Convert to fraction form
    13,505.68/20,258.52 = 3,644.94/x
  3. Step 3: Cross multiply
    13,505.68x = 20,258.52 × 3,644.94
  4. Step 4: Simplify right side
    13,505.68x = 73,841,172.69
  5. Step 5: Solve for x
    x = 73,841,172.69/13,505.68
  6. Step 6: Final answer
    x = 5,467.42

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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.