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Finding the Fourth Proportional to 12,147.66, 16,762.68 and 6,843.33

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Solution

The fourth proportional to 12,147.66, 16,762.68 and 6,843.33 is: 9,443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.66 : 16,762.68 = 6,843.33 : x
  2. Step 2: Convert to fraction form
    12,147.66/16,762.68 = 6,843.33/x
  3. Step 3: Cross multiply
    12,147.66x = 16,762.68 × 6,843.33
  4. Step 4: Simplify right side
    12,147.66x = 114,712,550.92
  5. Step 5: Solve for x
    x = 114,712,550.92/12,147.66
  6. Step 6: Final answer
    x = 9,443.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.