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Finding the Fourth Proportional to 16,836.78, 23,234.93 and 9,283.38

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Solution

The fourth proportional to 16,836.78, 23,234.93 and 9,283.38 is: 12,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,836.78 : 23,234.93 = 9,283.38 : x
  2. Step 2: Convert to fraction form
    16,836.78/23,234.93 = 9,283.38/x
  3. Step 3: Cross multiply
    16,836.78x = 23,234.93 × 9,283.38
  4. Step 4: Simplify right side
    16,836.78x = 215,698,638.05
  5. Step 5: Solve for x
    x = 215,698,638.05/16,836.78
  6. Step 6: Final answer
    x = 12,811.16

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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.