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Finding the Fourth Proportional to 16,806.72, 25,212.42 and 7,446

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Solution

The fourth proportional to 16,806.72, 25,212.42 and 7,446 is: 11,170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806.72 : 25,212.42 = 7,446 : x
  2. Step 2: Convert to fraction form
    16,806.72/25,212.42 = 7,446/x
  3. Step 3: Cross multiply
    16,806.72x = 25,212.42 × 7,446
  4. Step 4: Simplify right side
    16,806.72x = 187,731,679.32
  5. Step 5: Solve for x
    x = 187,731,679.32/16,806.72
  6. Step 6: Final answer
    x = 11,170.04

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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.