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Finding the Fourth Proportional to 26,509, 39,763.74 and 8,041

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Solution

The fourth proportional to 26,509, 39,763.74 and 8,041 is: 12,061.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509 : 39,763.74 = 8,041 : x
  2. Step 2: Convert to fraction form
    26,509/39,763.74 = 8,041/x
  3. Step 3: Cross multiply
    26,509x = 39,763.74 × 8,041
  4. Step 4: Simplify right side
    26,509x = 319,740,233.34
  5. Step 5: Solve for x
    x = 319,740,233.34/26,509
  6. Step 6: Final answer
    x = 12,061.57

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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.