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Finding the Fourth Proportional to 14,314.12, 21,477.36 and 7,744.94

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Solution

The fourth proportional to 14,314.12, 21,477.36 and 7,744.94 is: 11,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.12 : 21,477.36 = 7,744.94 : x
  2. Step 2: Convert to fraction form
    14,314.12/21,477.36 = 7,744.94/x
  3. Step 3: Cross multiply
    14,314.12x = 21,477.36 × 7,744.94
  4. Step 4: Simplify right side
    14,314.12x = 166,340,864.56
  5. Step 5: Solve for x
    x = 166,340,864.56/14,314.12
  6. Step 6: Final answer
    x = 11,620.75

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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.