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Finding the Fourth Proportional to 27,593.41, 41,384.61 and 7,866.67

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Solution

The fourth proportional to 27,593.41, 41,384.61 and 7,866.67 is: 11,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,593.41 : 41,384.61 = 7,866.67 : x
  2. Step 2: Convert to fraction form
    27,593.41/41,384.61 = 7,866.67/x
  3. Step 3: Cross multiply
    27,593.41x = 41,384.61 × 7,866.67
  4. Step 4: Simplify right side
    27,593.41x = 325,559,069.95
  5. Step 5: Solve for x
    x = 325,559,069.95/27,593.41
  6. Step 6: Final answer
    x = 11,798.44

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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.