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Finding the Fourth Proportional to 14,584.80, 21,874.56 and 4,194

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Solution

The fourth proportional to 14,584.80, 21,874.56 and 4,194 is: 6,290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584.80 : 21,874.56 = 4,194 : x
  2. Step 2: Convert to fraction form
    14,584.80/21,874.56 = 4,194/x
  3. Step 3: Cross multiply
    14,584.80x = 21,874.56 × 4,194
  4. Step 4: Simplify right side
    14,584.80x = 91,741,904.64
  5. Step 5: Solve for x
    x = 91,741,904.64/14,584.80
  6. Step 6: Final answer
    x = 6,290.24

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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.