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Finding the Fourth Proportional to 12,184.83, 18,258.11 and 9,418.28

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Solution

The fourth proportional to 12,184.83, 18,258.11 and 9,418.28 is: 14,112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.83 : 18,258.11 = 9,418.28 : x
  2. Step 2: Convert to fraction form
    12,184.83/18,258.11 = 9,418.28/x
  3. Step 3: Cross multiply
    12,184.83x = 18,258.11 × 9,418.28
  4. Step 4: Simplify right side
    12,184.83x = 171,959,889.19
  5. Step 5: Solve for x
    x = 171,959,889.19/12,184.83
  6. Step 6: Final answer
    x = 14,112.62

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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.