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Finding the Fourth Proportional to 14,066.28, 21,100.62 and 3,678

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Solution

The fourth proportional to 14,066.28, 21,100.62 and 3,678 is: 5,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066.28 : 21,100.62 = 3,678 : x
  2. Step 2: Convert to fraction form
    14,066.28/21,100.62 = 3,678/x
  3. Step 3: Cross multiply
    14,066.28x = 21,100.62 × 3,678
  4. Step 4: Simplify right side
    14,066.28x = 77,608,080.36
  5. Step 5: Solve for x
    x = 77,608,080.36/14,066.28
  6. Step 6: Final answer
    x = 5,517.31

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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.