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Finding the Fourth Proportional to 27,763.14, 38,317.41 and 21,839.70

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Solution

The fourth proportional to 27,763.14, 38,317.41 and 21,839.70 is: 30,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,763.14 : 38,317.41 = 21,839.70 : x
  2. Step 2: Convert to fraction form
    27,763.14/38,317.41 = 21,839.70/x
  3. Step 3: Cross multiply
    27,763.14x = 38,317.41 × 21,839.70
  4. Step 4: Simplify right side
    27,763.14x = 836,840,739.18
  5. Step 5: Solve for x
    x = 836,840,739.18/27,763.14
  6. Step 6: Final answer
    x = 30,142.15

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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.