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Finding the Fourth Proportional to 12,135.83, 18,198.07 and 8,461.67

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Solution

The fourth proportional to 12,135.83, 18,198.07 and 8,461.67 is: 12,688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.83 : 18,198.07 = 8,461.67 : x
  2. Step 2: Convert to fraction form
    12,135.83/18,198.07 = 8,461.67/x
  3. Step 3: Cross multiply
    12,135.83x = 18,198.07 × 8,461.67
  4. Step 4: Simplify right side
    12,135.83x = 153,985,950.83
  5. Step 5: Solve for x
    x = 153,985,950.83/12,135.83
  6. Step 6: Final answer
    x = 12,688.54

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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.