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Finding the Fourth Proportional to 26,631.76, 36,766.56 and 16,024

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Solution

The fourth proportional to 26,631.76, 36,766.56 and 16,024 is: 22,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,631.76 : 36,766.56 = 16,024 : x
  2. Step 2: Convert to fraction form
    26,631.76/36,766.56 = 16,024/x
  3. Step 3: Cross multiply
    26,631.76x = 36,766.56 × 16,024
  4. Step 4: Simplify right side
    26,631.76x = 589,147,357.44
  5. Step 5: Solve for x
    x = 589,147,357.44/26,631.76
  6. Step 6: Final answer
    x = 22,121.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.