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Finding the Fourth Proportional to 14,530.56, 21,805.41 and 5,170.43

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Solution

The fourth proportional to 14,530.56, 21,805.41 and 5,170.43 is: 7,759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530.56 : 21,805.41 = 5,170.43 : x
  2. Step 2: Convert to fraction form
    14,530.56/21,805.41 = 5,170.43/x
  3. Step 3: Cross multiply
    14,530.56x = 21,805.41 × 5,170.43
  4. Step 4: Simplify right side
    14,530.56x = 112,743,346.03
  5. Step 5: Solve for x
    x = 112,743,346.03/14,530.56
  6. Step 6: Final answer
    x = 7,759.05

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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.