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Finding the Fourth Proportional to 26,503.25, 39,754.66 and 6,781.77

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Solution

The fourth proportional to 26,503.25, 39,754.66 and 6,781.77 is: 10,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,503.25 : 39,754.66 = 6,781.77 : x
  2. Step 2: Convert to fraction form
    26,503.25/39,754.66 = 6,781.77/x
  3. Step 3: Cross multiply
    26,503.25x = 39,754.66 × 6,781.77
  4. Step 4: Simplify right side
    26,503.25x = 269,606,960.55
  5. Step 5: Solve for x
    x = 269,606,960.55/26,503.25
  6. Step 6: Final answer
    x = 10,172.60

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