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Finding the Fourth Proportional to 12,147.08, 16,763.31 and 6,842.39

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Solution

The fourth proportional to 12,147.08, 16,763.31 and 6,842.39 is: 9,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.08 : 16,763.31 = 6,842.39 : x
  2. Step 2: Convert to fraction form
    12,147.08/16,763.31 = 6,842.39/x
  3. Step 3: Cross multiply
    12,147.08x = 16,763.31 × 6,842.39
  4. Step 4: Simplify right side
    12,147.08x = 114,701,020.89
  5. Step 5: Solve for x
    x = 114,701,020.89/12,147.08
  6. Step 6: Final answer
    x = 9,442.69

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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.