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Finding the Fourth Proportional to 26,967.33, 40,389.57 and 23,814

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Solution

The fourth proportional to 26,967.33, 40,389.57 and 23,814 is: 35,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,967.33 : 40,389.57 = 23,814 : x
  2. Step 2: Convert to fraction form
    26,967.33/40,389.57 = 23,814/x
  3. Step 3: Cross multiply
    26,967.33x = 40,389.57 × 23,814
  4. Step 4: Simplify right side
    26,967.33x = 961,837,219.98
  5. Step 5: Solve for x
    x = 961,837,219.98/26,967.33
  6. Step 6: Final answer
    x = 35,666.76

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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.