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Finding the Fourth Proportional to 14,612.62, 21,906.63 and 5,842.75

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Solution

The fourth proportional to 14,612.62, 21,906.63 and 5,842.75 is: 8,759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.62 : 21,906.63 = 5,842.75 : x
  2. Step 2: Convert to fraction form
    14,612.62/21,906.63 = 5,842.75/x
  3. Step 3: Cross multiply
    14,612.62x = 21,906.63 × 5,842.75
  4. Step 4: Simplify right side
    14,612.62x = 127,994,962.43
  5. Step 5: Solve for x
    x = 127,994,962.43/14,612.62
  6. Step 6: Final answer
    x = 8,759.21

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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.