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Finding the Fourth Proportional to 13,506, 20,259 and 3,644.52

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Solution

The fourth proportional to 13,506, 20,259 and 3,644.52 is: 5,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506 : 20,259 = 3,644.52 : x
  2. Step 2: Convert to fraction form
    13,506/20,259 = 3,644.52/x
  3. Step 3: Cross multiply
    13,506x = 20,259 × 3,644.52
  4. Step 4: Simplify right side
    13,506x = 73,834,330.68
  5. Step 5: Solve for x
    x = 73,834,330.68/13,506
  6. Step 6: Final answer
    x = 5,466.78

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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.