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Finding the Fourth Proportional to 12,419.40, 18,629.10 and 9,138.90

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Solution

The fourth proportional to 12,419.40, 18,629.10 and 9,138.90 is: 13,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.40 : 18,629.10 = 9,138.90 : x
  2. Step 2: Convert to fraction form
    12,419.40/18,629.10 = 9,138.90/x
  3. Step 3: Cross multiply
    12,419.40x = 18,629.10 × 9,138.90
  4. Step 4: Simplify right side
    12,419.40x = 170,249,481.99
  5. Step 5: Solve for x
    x = 170,249,481.99/12,419.40
  6. Step 6: Final answer
    x = 13,708.35

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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.