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Finding the Fourth Proportional to 16,864.38, 23,274.50 and 9,790.38

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Solution

The fourth proportional to 16,864.38, 23,274.50 and 9,790.38 is: 13,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,864.38 : 23,274.50 = 9,790.38 : x
  2. Step 2: Convert to fraction form
    16,864.38/23,274.50 = 9,790.38/x
  3. Step 3: Cross multiply
    16,864.38x = 23,274.50 × 9,790.38
  4. Step 4: Simplify right side
    16,864.38x = 227,866,150.36
  5. Step 5: Solve for x
    x = 227,866,150.36/16,864.38
  6. Step 6: Final answer
    x = 13,511.68

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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.