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Finding the Fourth Proportional to 12,149.04, 16,765.76 and 6,843.60

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Solution

The fourth proportional to 12,149.04, 16,765.76 and 6,843.60 is: 9,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.04 : 16,765.76 = 6,843.60 : x
  2. Step 2: Convert to fraction form
    12,149.04/16,765.76 = 6,843.60/x
  3. Step 3: Cross multiply
    12,149.04x = 16,765.76 × 6,843.60
  4. Step 4: Simplify right side
    12,149.04x = 114,738,155.14
  5. Step 5: Solve for x
    x = 114,738,155.14/12,149.04
  6. Step 6: Final answer
    x = 9,444.22

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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.