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Finding the Fourth Proportional to 26,394, 39,594.24 and 7,926

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Solution

The fourth proportional to 26,394, 39,594.24 and 7,926 is: 11,889.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,394 : 39,594.24 = 7,926 : x
  2. Step 2: Convert to fraction form
    26,394/39,594.24 = 7,926/x
  3. Step 3: Cross multiply
    26,394x = 39,594.24 × 7,926
  4. Step 4: Simplify right side
    26,394x = 313,823,946.24
  5. Step 5: Solve for x
    x = 313,823,946.24/26,394
  6. Step 6: Final answer
    x = 11,889.97

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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.