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Finding the Fourth Proportional to 16,817.22, 25,253.94 and 10,506.77

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Solution

The fourth proportional to 16,817.22, 25,253.94 and 10,506.77 is: 15,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,817.22 : 25,253.94 = 10,506.77 : x
  2. Step 2: Convert to fraction form
    16,817.22/25,253.94 = 10,506.77/x
  3. Step 3: Cross multiply
    16,817.22x = 25,253.94 × 10,506.77
  4. Step 4: Simplify right side
    16,817.22x = 265,337,212.90
  5. Step 5: Solve for x
    x = 265,337,212.90/16,817.22
  6. Step 6: Final answer
    x = 15,777.71

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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.