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Finding the Fourth Proportional to 16,689.78, 23,034.24 and 10,738.44

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Solution

The fourth proportional to 16,689.78, 23,034.24 and 10,738.44 is: 14,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,689.78 : 23,034.24 = 10,738.44 : x
  2. Step 2: Convert to fraction form
    16,689.78/23,034.24 = 10,738.44/x
  3. Step 3: Cross multiply
    16,689.78x = 23,034.24 × 10,738.44
  4. Step 4: Simplify right side
    16,689.78x = 247,351,804.19
  5. Step 5: Solve for x
    x = 247,351,804.19/16,689.78
  6. Step 6: Final answer
    x = 14,820.56

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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.