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Finding the Fourth Proportional to 27,703.84, 38,219.68 and 16,940.56

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Solution

The fourth proportional to 27,703.84, 38,219.68 and 16,940.56 is: 23,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,703.84 : 38,219.68 = 16,940.56 : x
  2. Step 2: Convert to fraction form
    27,703.84/38,219.68 = 16,940.56/x
  3. Step 3: Cross multiply
    27,703.84x = 38,219.68 × 16,940.56
  4. Step 4: Simplify right side
    27,703.84x = 647,462,782.22
  5. Step 5: Solve for x
    x = 647,462,782.22/27,703.84
  6. Step 6: Final answer
    x = 23,370.87

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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.