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Finding the Fourth Proportional to 13,526, 20,289.08 and 3,664.56

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Solution

The fourth proportional to 13,526, 20,289.08 and 3,664.56 is: 5,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,526 : 20,289.08 = 3,664.56 : x
  2. Step 2: Convert to fraction form
    13,526/20,289.08 = 3,664.56/x
  3. Step 3: Cross multiply
    13,526x = 20,289.08 × 3,664.56
  4. Step 4: Simplify right side
    13,526x = 74,350,551.00
  5. Step 5: Solve for x
    x = 74,350,551.00/13,526
  6. Step 6: Final answer
    x = 5,496.86

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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.