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Finding the Fourth Proportional to 14,166.64, 21,231.42 and 5,837.14

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Solution

The fourth proportional to 14,166.64, 21,231.42 and 5,837.14 is: 8,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,166.64 : 21,231.42 = 5,837.14 : x
  2. Step 2: Convert to fraction form
    14,166.64/21,231.42 = 5,837.14/x
  3. Step 3: Cross multiply
    14,166.64x = 21,231.42 × 5,837.14
  4. Step 4: Simplify right side
    14,166.64x = 123,930,770.94
  5. Step 5: Solve for x
    x = 123,930,770.94/14,166.64
  6. Step 6: Final answer
    x = 8,748.07

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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.