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Finding the Fourth Proportional to 26,194.99, 39,278.12 and 10,384

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Solution

The fourth proportional to 26,194.99, 39,278.12 and 10,384 is: 15,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,194.99 : 39,278.12 = 10,384 : x
  2. Step 2: Convert to fraction form
    26,194.99/39,278.12 = 10,384/x
  3. Step 3: Cross multiply
    26,194.99x = 39,278.12 × 10,384
  4. Step 4: Simplify right side
    26,194.99x = 407,863,998.08
  5. Step 5: Solve for x
    x = 407,863,998.08/26,194.99
  6. Step 6: Final answer
    x = 15,570.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.