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Finding the Fourth Proportional to 26,096, 36,012.27 and 14,765.40

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Solution

The fourth proportional to 26,096, 36,012.27 and 14,765.40 is: 20,376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,096 : 36,012.27 = 14,765.40 : x
  2. Step 2: Convert to fraction form
    26,096/36,012.27 = 14,765.40/x
  3. Step 3: Cross multiply
    26,096x = 36,012.27 × 14,765.40
  4. Step 4: Simplify right side
    26,096x = 531,735,497.63
  5. Step 5: Solve for x
    x = 531,735,497.63/26,096
  6. Step 6: Final answer
    x = 20,376.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.