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Finding the Fourth Proportional to 12,138.51, 18,193 and 6,578.67

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Solution

The fourth proportional to 12,138.51, 18,193 and 6,578.67 is: 9,860.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.51 : 18,193 = 6,578.67 : x
  2. Step 2: Convert to fraction form
    12,138.51/18,193 = 6,578.67/x
  3. Step 3: Cross multiply
    12,138.51x = 18,193 × 6,578.67
  4. Step 4: Simplify right side
    12,138.51x = 119,685,743.31
  5. Step 5: Solve for x
    x = 119,685,743.31/12,138.51
  6. Step 6: Final answer
    x = 9,860.00

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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.