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Finding the Fourth Proportional to 14,406.11, 21,609.11 and 5,634.84

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Solution

The fourth proportional to 14,406.11, 21,609.11 and 5,634.84 is: 8,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.11 : 21,609.11 = 5,634.84 : x
  2. Step 2: Convert to fraction form
    14,406.11/21,609.11 = 5,634.84/x
  3. Step 3: Cross multiply
    14,406.11x = 21,609.11 × 5,634.84
  4. Step 4: Simplify right side
    14,406.11x = 121,763,849.22
  5. Step 5: Solve for x
    x = 121,763,849.22/14,406.11
  6. Step 6: Final answer
    x = 8,452.24

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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.