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Finding the Fourth Proportional to 16,838.56, 23,237.38 and 9,285.16

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Solution

The fourth proportional to 16,838.56, 23,237.38 and 9,285.16 is: 12,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.56 : 23,237.38 = 9,285.16 : x
  2. Step 2: Convert to fraction form
    16,838.56/23,237.38 = 9,285.16/x
  3. Step 3: Cross multiply
    16,838.56x = 23,237.38 × 9,285.16
  4. Step 4: Simplify right side
    16,838.56x = 215,762,791.28
  5. Step 5: Solve for x
    x = 215,762,791.28/16,838.56
  6. Step 6: Final answer
    x = 12,813.61

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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.