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Finding the Fourth Proportional to 26,821.74, 36,997.16 and 17,274

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Solution

The fourth proportional to 26,821.74, 36,997.16 and 17,274 is: 23,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,821.74 : 36,997.16 = 17,274 : x
  2. Step 2: Convert to fraction form
    26,821.74/36,997.16 = 17,274/x
  3. Step 3: Cross multiply
    26,821.74x = 36,997.16 × 17,274
  4. Step 4: Simplify right side
    26,821.74x = 639,088,941.84
  5. Step 5: Solve for x
    x = 639,088,941.84/26,821.74
  6. Step 6: Final answer
    x = 23,827.27

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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.