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Finding the Fourth Proportional to 12,147.37, 16,763.59 and 6,842.38

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Solution

The fourth proportional to 12,147.37, 16,763.59 and 6,842.38 is: 9,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.37 : 16,763.59 = 6,842.38 : x
  2. Step 2: Convert to fraction form
    12,147.37/16,763.59 = 6,842.38/x
  3. Step 3: Cross multiply
    12,147.37x = 16,763.59 × 6,842.38
  4. Step 4: Simplify right side
    12,147.37x = 114,702,852.94
  5. Step 5: Solve for x
    x = 114,702,852.94/12,147.37
  6. Step 6: Final answer
    x = 9,442.61

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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.