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Finding the Fourth Proportional to 26,144, 39,193.95 and 11,341.77

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Solution

The fourth proportional to 26,144, 39,193.95 and 11,341.77 is: 17,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,144 : 39,193.95 = 11,341.77 : x
  2. Step 2: Convert to fraction form
    26,144/39,193.95 = 11,341.77/x
  3. Step 3: Cross multiply
    26,144x = 39,193.95 × 11,341.77
  4. Step 4: Simplify right side
    26,144x = 444,528,766.29
  5. Step 5: Solve for x
    x = 444,528,766.29/26,144
  6. Step 6: Final answer
    x = 17,003.09

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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.