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Finding the Fourth Proportional to 13,664.25, 20,496.02 and 3,803.13

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Solution

The fourth proportional to 13,664.25, 20,496.02 and 3,803.13 is: 5,704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.25 : 20,496.02 = 3,803.13 : x
  2. Step 2: Convert to fraction form
    13,664.25/20,496.02 = 3,803.13/x
  3. Step 3: Cross multiply
    13,664.25x = 20,496.02 × 3,803.13
  4. Step 4: Simplify right side
    13,664.25x = 77,949,009.53
  5. Step 5: Solve for x
    x = 77,949,009.53/13,664.25
  6. Step 6: Final answer
    x = 5,704.59

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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.