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Finding the Fourth Proportional to 27,509.08, 41,238.14 and 9,974.20

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Solution

The fourth proportional to 27,509.08, 41,238.14 and 9,974.20 is: 14,952.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.08 : 41,238.14 = 9,974.20 : x
  2. Step 2: Convert to fraction form
    27,509.08/41,238.14 = 9,974.20/x
  3. Step 3: Cross multiply
    27,509.08x = 41,238.14 × 9,974.20
  4. Step 4: Simplify right side
    27,509.08x = 411,317,455.99
  5. Step 5: Solve for x
    x = 411,317,455.99/27,509.08
  6. Step 6: Final answer
    x = 14,952.06

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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.