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Finding the Fourth Proportional to 12,148.87, 16,765.49 and 6,843.77

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Solution

The fourth proportional to 12,148.87, 16,765.49 and 6,843.77 is: 9,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.87 : 16,765.49 = 6,843.77 : x
  2. Step 2: Convert to fraction form
    12,148.87/16,765.49 = 6,843.77/x
  3. Step 3: Cross multiply
    12,148.87x = 16,765.49 × 6,843.77
  4. Step 4: Simplify right side
    12,148.87x = 114,739,157.50
  5. Step 5: Solve for x
    x = 114,739,157.50/12,148.87
  6. Step 6: Final answer
    x = 9,444.43

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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.