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Finding the Fourth Proportional to 26,994.92, 40,492.38 and 13,838.90

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Solution

The fourth proportional to 26,994.92, 40,492.38 and 13,838.90 is: 20,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,994.92 : 40,492.38 = 13,838.90 : x
  2. Step 2: Convert to fraction form
    26,994.92/40,492.38 = 13,838.90/x
  3. Step 3: Cross multiply
    26,994.92x = 40,492.38 × 13,838.90
  4. Step 4: Simplify right side
    26,994.92x = 560,369,795.12
  5. Step 5: Solve for x
    x = 560,369,795.12/26,994.92
  6. Step 6: Final answer
    x = 20,758.35

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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.