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Finding the Fourth Proportional to 12,047.85, 18,052.34 and 6,186.69

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Solution

The fourth proportional to 12,047.85, 18,052.34 and 6,186.69 is: 9,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.85 : 18,052.34 = 6,186.69 : x
  2. Step 2: Convert to fraction form
    12,047.85/18,052.34 = 6,186.69/x
  3. Step 3: Cross multiply
    12,047.85x = 18,052.34 × 6,186.69
  4. Step 4: Simplify right side
    12,047.85x = 111,684,200.42
  5. Step 5: Solve for x
    x = 111,684,200.42/12,047.85
  6. Step 6: Final answer
    x = 9,270.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.