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Finding the Fourth Proportional to 13,522.14, 20,293.47 and 8,840.88

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Solution

The fourth proportional to 13,522.14, 20,293.47 and 8,840.88 is: 13,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.14 : 20,293.47 = 8,840.88 : x
  2. Step 2: Convert to fraction form
    13,522.14/20,293.47 = 8,840.88/x
  3. Step 3: Cross multiply
    13,522.14x = 20,293.47 × 8,840.88
  4. Step 4: Simplify right side
    13,522.14x = 179,412,133.05
  5. Step 5: Solve for x
    x = 179,412,133.05/13,522.14
  6. Step 6: Final answer
    x = 13,268.03

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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.