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Finding the Fourth Proportional to 12,419.55, 18,629.31 and 8,738.24

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Solution

The fourth proportional to 12,419.55, 18,629.31 and 8,738.24 is: 13,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.55 : 18,629.31 = 8,738.24 : x
  2. Step 2: Convert to fraction form
    12,419.55/18,629.31 = 8,738.24/x
  3. Step 3: Cross multiply
    12,419.55x = 18,629.31 × 8,738.24
  4. Step 4: Simplify right side
    12,419.55x = 162,787,381.81
  5. Step 5: Solve for x
    x = 162,787,381.81/12,419.55
  6. Step 6: Final answer
    x = 13,107.35

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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.