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Finding the Fourth Proportional to 16,732.41, 23,084.39 and 10,682.89

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Solution

The fourth proportional to 16,732.41, 23,084.39 and 10,682.89 is: 14,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732.41 : 23,084.39 = 10,682.89 : x
  2. Step 2: Convert to fraction form
    16,732.41/23,084.39 = 10,682.89/x
  3. Step 3: Cross multiply
    16,732.41x = 23,084.39 × 10,682.89
  4. Step 4: Simplify right side
    16,732.41x = 246,607,968.08
  5. Step 5: Solve for x
    x = 246,607,968.08/16,732.41
  6. Step 6: Final answer
    x = 14,738.34

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Why These Related Problems?

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