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Finding the Fourth Proportional to 12,148.75, 16,765.24 and 6,843.45

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Solution

The fourth proportional to 12,148.75, 16,765.24 and 6,843.45 is: 9,443.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.75 : 16,765.24 = 6,843.45 : x
  2. Step 2: Convert to fraction form
    12,148.75/16,765.24 = 6,843.45/x
  3. Step 3: Cross multiply
    12,148.75x = 16,765.24 × 6,843.45
  4. Step 4: Simplify right side
    12,148.75x = 114,732,081.68
  5. Step 5: Solve for x
    x = 114,732,081.68/12,148.75
  6. Step 6: Final answer
    x = 9,443.94

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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.