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Finding the Fourth Proportional to 12,137.08, 18,216.47 and 6,218.00

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Solution

The fourth proportional to 12,137.08, 18,216.47 and 6,218.00 is: 9,332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.08 : 18,216.47 = 6,218.00 : x
  2. Step 2: Convert to fraction form
    12,137.08/18,216.47 = 6,218.00/x
  3. Step 3: Cross multiply
    12,137.08x = 18,216.47 × 6,218.00
  4. Step 4: Simplify right side
    12,137.08x = 113,270,014.80
  5. Step 5: Solve for x
    x = 113,270,014.80/12,137.08
  6. Step 6: Final answer
    x = 9,332.56

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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.