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Finding the Fourth Proportional to 12,147.12, 18,219.84 and 6,300

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Solution

The fourth proportional to 12,147.12, 18,219.84 and 6,300 is: 9,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.12 : 18,219.84 = 6,300 : x
  2. Step 2: Convert to fraction form
    12,147.12/18,219.84 = 6,300/x
  3. Step 3: Cross multiply
    12,147.12x = 18,219.84 × 6,300
  4. Step 4: Simplify right side
    12,147.12x = 114,784,992
  5. Step 5: Solve for x
    x = 114,784,992/12,147.12
  6. Step 6: Final answer
    x = 9,449.56

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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.