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Finding the Fourth Proportional to 13,765.28, 20,643.05 and 4,997.84

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Solution

The fourth proportional to 13,765.28, 20,643.05 and 4,997.84 is: 7,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.28 : 20,643.05 = 4,997.84 : x
  2. Step 2: Convert to fraction form
    13,765.28/20,643.05 = 4,997.84/x
  3. Step 3: Cross multiply
    13,765.28x = 20,643.05 × 4,997.84
  4. Step 4: Simplify right side
    13,765.28x = 103,170,570.29
  5. Step 5: Solve for x
    x = 103,170,570.29/13,765.28
  6. Step 6: Final answer
    x = 7,494.99

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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.