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Finding the Fourth Proportional to 26,669, 40,027.76 and 14,199.48

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Solution

The fourth proportional to 26,669, 40,027.76 and 14,199.48 is: 21,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,669 : 40,027.76 = 14,199.48 : x
  2. Step 2: Convert to fraction form
    26,669/40,027.76 = 14,199.48/x
  3. Step 3: Cross multiply
    26,669x = 40,027.76 × 14,199.48
  4. Step 4: Simplify right side
    26,669x = 568,373,377.56
  5. Step 5: Solve for x
    x = 568,373,377.56/26,669
  6. Step 6: Final answer
    x = 21,312.14

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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.