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Finding the Fourth Proportional to 14,282.05, 21,410.74 and 5,523.11

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Solution

The fourth proportional to 14,282.05, 21,410.74 and 5,523.11 is: 8,279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.05 : 21,410.74 = 5,523.11 : x
  2. Step 2: Convert to fraction form
    14,282.05/21,410.74 = 5,523.11/x
  3. Step 3: Cross multiply
    14,282.05x = 21,410.74 × 5,523.11
  4. Step 4: Simplify right side
    14,282.05x = 118,253,872.20
  5. Step 5: Solve for x
    x = 118,253,872.20/14,282.05
  6. Step 6: Final answer
    x = 8,279.89

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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.