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Finding the Fourth Proportional to 26,486.32, 39,733.80 and 8,014

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Solution

The fourth proportional to 26,486.32, 39,733.80 and 8,014 is: 12,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,486.32 : 39,733.80 = 8,014 : x
  2. Step 2: Convert to fraction form
    26,486.32/39,733.80 = 8,014/x
  3. Step 3: Cross multiply
    26,486.32x = 39,733.80 × 8,014
  4. Step 4: Simplify right side
    26,486.32x = 318,426,673.20
  5. Step 5: Solve for x
    x = 318,426,673.20/26,486.32
  6. Step 6: Final answer
    x = 12,022.31

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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.