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Finding the Fourth Proportional to 27,596.50, 41,394.44 and 6,820.00

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Solution

The fourth proportional to 27,596.50, 41,394.44 and 6,820.00 is: 10,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.50 : 41,394.44 = 6,820.00 : x
  2. Step 2: Convert to fraction form
    27,596.50/41,394.44 = 6,820.00/x
  3. Step 3: Cross multiply
    27,596.50x = 41,394.44 × 6,820.00
  4. Step 4: Simplify right side
    27,596.50x = 282,309,994.36
  5. Step 5: Solve for x
    x = 282,309,994.36/27,596.50
  6. Step 6: Final answer
    x = 10,229.92

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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.