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Finding the Fourth Proportional to 27,933.70, 41,901.58 and 9,214.20

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Solution

The fourth proportional to 27,933.70, 41,901.58 and 9,214.20 is: 13,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,933.70 : 41,901.58 = 9,214.20 : x
  2. Step 2: Convert to fraction form
    27,933.70/41,901.58 = 9,214.20/x
  3. Step 3: Cross multiply
    27,933.70x = 41,901.58 × 9,214.20
  4. Step 4: Simplify right side
    27,933.70x = 386,089,538.44
  5. Step 5: Solve for x
    x = 386,089,538.44/27,933.70
  6. Step 6: Final answer
    x = 13,821.64

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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.