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Finding the Fourth Proportional to 14,522.69, 21,786.31 and 6,202.75

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Solution

The fourth proportional to 14,522.69, 21,786.31 and 6,202.75 is: 9,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,522.69 : 21,786.31 = 6,202.75 : x
  2. Step 2: Convert to fraction form
    14,522.69/21,786.31 = 6,202.75/x
  3. Step 3: Cross multiply
    14,522.69x = 21,786.31 × 6,202.75
  4. Step 4: Simplify right side
    14,522.69x = 135,134,964.38
  5. Step 5: Solve for x
    x = 135,134,964.38/14,522.69
  6. Step 6: Final answer
    x = 9,305.10

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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.