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Finding the Fourth Proportional to 14,544.84, 21,825.09 and 5,779.83

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Solution

The fourth proportional to 14,544.84, 21,825.09 and 5,779.83 is: 8,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544.84 : 21,825.09 = 5,779.83 : x
  2. Step 2: Convert to fraction form
    14,544.84/21,825.09 = 5,779.83/x
  3. Step 3: Cross multiply
    14,544.84x = 21,825.09 × 5,779.83
  4. Step 4: Simplify right side
    14,544.84x = 126,145,309.93
  5. Step 5: Solve for x
    x = 126,145,309.93/14,544.84
  6. Step 6: Final answer
    x = 8,672.86

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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.