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Finding the Fourth Proportional to 13,574.16, 20,361.24 and 7,727.76

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Solution

The fourth proportional to 13,574.16, 20,361.24 and 7,727.76 is: 11,591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.16 : 20,361.24 = 7,727.76 : x
  2. Step 2: Convert to fraction form
    13,574.16/20,361.24 = 7,727.76/x
  3. Step 3: Cross multiply
    13,574.16x = 20,361.24 × 7,727.76
  4. Step 4: Simplify right side
    13,574.16x = 157,346,776.02
  5. Step 5: Solve for x
    x = 157,346,776.02/13,574.16
  6. Step 6: Final answer
    x = 11,591.64

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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.