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Finding the Fourth Proportional to 26,994.80, 40,492.22 and 13,838.78

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Solution

The fourth proportional to 26,994.80, 40,492.22 and 13,838.78 is: 20,758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,994.80 : 40,492.22 = 13,838.78 : x
  2. Step 2: Convert to fraction form
    26,994.80/40,492.22 = 13,838.78/x
  3. Step 3: Cross multiply
    26,994.80x = 40,492.22 × 13,838.78
  4. Step 4: Simplify right side
    26,994.80x = 560,362,652.64
  5. Step 5: Solve for x
    x = 560,362,652.64/26,994.80
  6. Step 6: Final answer
    x = 20,758.17

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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.