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Finding the Fourth Proportional to 26,147, 36,082.86 and 14,971.16

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Solution

The fourth proportional to 26,147, 36,082.86 and 14,971.16 is: 20,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,147 : 36,082.86 = 14,971.16 : x
  2. Step 2: Convert to fraction form
    26,147/36,082.86 = 14,971.16/x
  3. Step 3: Cross multiply
    26,147x = 36,082.86 × 14,971.16
  4. Step 4: Simplify right side
    26,147x = 540,202,270.32
  5. Step 5: Solve for x
    x = 540,202,270.32/26,147
  6. Step 6: Final answer
    x = 20,660.20

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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.