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Finding the Fourth Proportional to 12,124.96, 18,193.11 and 6,278.38

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Solution

The fourth proportional to 12,124.96, 18,193.11 and 6,278.38 is: 9,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.96 : 18,193.11 = 6,278.38 : x
  2. Step 2: Convert to fraction form
    12,124.96/18,193.11 = 6,278.38/x
  3. Step 3: Cross multiply
    12,124.96x = 18,193.11 × 6,278.38
  4. Step 4: Simplify right side
    12,124.96x = 114,223,257.96
  5. Step 5: Solve for x
    x = 114,223,257.96/12,124.96
  6. Step 6: Final answer
    x = 9,420.51

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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.