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Finding the Fourth Proportional to 17,946.30, 26,977.77 and 16,105.98

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Solution

The fourth proportional to 17,946.30, 26,977.77 and 16,105.98 is: 24,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946.30 : 26,977.77 = 16,105.98 : x
  2. Step 2: Convert to fraction form
    17,946.30/26,977.77 = 16,105.98/x
  3. Step 3: Cross multiply
    17,946.30x = 26,977.77 × 16,105.98
  4. Step 4: Simplify right side
    17,946.30x = 434,503,424.06
  5. Step 5: Solve for x
    x = 434,503,424.06/17,946.30
  6. Step 6: Final answer
    x = 24,211.31

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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.