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Finding the Fourth Proportional to 26,997.28, 40,521.84 and 13,156

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Solution

The fourth proportional to 26,997.28, 40,521.84 and 13,156 is: 19,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,997.28 : 40,521.84 = 13,156 : x
  2. Step 2: Convert to fraction form
    26,997.28/40,521.84 = 13,156/x
  3. Step 3: Cross multiply
    26,997.28x = 40,521.84 × 13,156
  4. Step 4: Simplify right side
    26,997.28x = 533,105,327.04
  5. Step 5: Solve for x
    x = 533,105,327.04/26,997.28
  6. Step 6: Final answer
    x = 19,746.63

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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.