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Finding the Fourth Proportional to 13,503.75, 20,254.16 and 3,644.03

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Solution

The fourth proportional to 13,503.75, 20,254.16 and 3,644.03 is: 5,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.75 : 20,254.16 = 3,644.03 : x
  2. Step 2: Convert to fraction form
    13,503.75/20,254.16 = 3,644.03/x
  3. Step 3: Cross multiply
    13,503.75x = 20,254.16 × 3,644.03
  4. Step 4: Simplify right side
    13,503.75x = 73,806,647.17
  5. Step 5: Solve for x
    x = 73,806,647.17/13,503.75
  6. Step 6: Final answer
    x = 5,465.64

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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.