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Finding the Fourth Proportional to 13,881, 20,819.97 and 3,492.75

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Solution

The fourth proportional to 13,881, 20,819.97 and 3,492.75 is: 5,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881 : 20,819.97 = 3,492.75 : x
  2. Step 2: Convert to fraction form
    13,881/20,819.97 = 3,492.75/x
  3. Step 3: Cross multiply
    13,881x = 20,819.97 × 3,492.75
  4. Step 4: Simplify right side
    13,881x = 72,718,950.22
  5. Step 5: Solve for x
    x = 72,718,950.22/13,881
  6. Step 6: Final answer
    x = 5,238.74

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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.