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Finding the Fourth Proportional to 30,276.24, 41,744.94 and 19,662

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Solution

The fourth proportional to 30,276.24, 41,744.94 and 19,662 is: 27,110.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,276.24 : 41,744.94 = 19,662 : x
  2. Step 2: Convert to fraction form
    30,276.24/41,744.94 = 19,662/x
  3. Step 3: Cross multiply
    30,276.24x = 41,744.94 × 19,662
  4. Step 4: Simplify right side
    30,276.24x = 820,789,010.28
  5. Step 5: Solve for x
    x = 820,789,010.28/30,276.24
  6. Step 6: Final answer
    x = 27,110.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.