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Finding the Fourth Proportional to 13,643.32, 20,459.94 and 10,727.32

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Solution

The fourth proportional to 13,643.32, 20,459.94 and 10,727.32 is: 16,087.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.32 : 20,459.94 = 10,727.32 : x
  2. Step 2: Convert to fraction form
    13,643.32/20,459.94 = 10,727.32/x
  3. Step 3: Cross multiply
    13,643.32x = 20,459.94 × 10,727.32
  4. Step 4: Simplify right side
    13,643.32x = 219,480,323.56
  5. Step 5: Solve for x
    x = 219,480,323.56/13,643.32
  6. Step 6: Final answer
    x = 16,087.02

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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.