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Finding the Fourth Proportional to 27,509.73, 41,280.99 and 9,980.92

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Solution

The fourth proportional to 27,509.73, 41,280.99 and 9,980.92 is: 14,977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.73 : 41,280.99 = 9,980.92 : x
  2. Step 2: Convert to fraction form
    27,509.73/41,280.99 = 9,980.92/x
  3. Step 3: Cross multiply
    27,509.73x = 41,280.99 × 9,980.92
  4. Step 4: Simplify right side
    27,509.73x = 412,022,329.03
  5. Step 5: Solve for x
    x = 412,022,329.03/27,509.73
  6. Step 6: Final answer
    x = 14,977.33

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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.