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Finding the Fourth Proportional to 13,147.64, 18,112.62 and 9,161.62

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Solution

The fourth proportional to 13,147.64, 18,112.62 and 9,161.62 is: 12,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.64 : 18,112.62 = 9,161.62 : x
  2. Step 2: Convert to fraction form
    13,147.64/18,112.62 = 9,161.62/x
  3. Step 3: Cross multiply
    13,147.64x = 18,112.62 × 9,161.62
  4. Step 4: Simplify right side
    13,147.64x = 165,940,941.64
  5. Step 5: Solve for x
    x = 165,940,941.64/13,147.64
  6. Step 6: Final answer
    x = 12,621.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.