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Finding the Fourth Proportional to 20,249.94, 27,950.85 and 12,802.26

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Solution

The fourth proportional to 20,249.94, 27,950.85 and 12,802.26 is: 17,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,249.94 : 27,950.85 = 12,802.26 : x
  2. Step 2: Convert to fraction form
    20,249.94/27,950.85 = 12,802.26/x
  3. Step 3: Cross multiply
    20,249.94x = 27,950.85 × 12,802.26
  4. Step 4: Simplify right side
    20,249.94x = 357,834,048.92
  5. Step 5: Solve for x
    x = 357,834,048.92/20,249.94
  6. Step 6: Final answer
    x = 17,670.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.