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Finding the Fourth Proportional to 12,974.40, 19,418.40 and 11,419.20

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Solution

The fourth proportional to 12,974.40, 19,418.40 and 11,419.20 is: 17,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.40 : 19,418.40 = 11,419.20 : x
  2. Step 2: Convert to fraction form
    12,974.40/19,418.40 = 11,419.20/x
  3. Step 3: Cross multiply
    12,974.40x = 19,418.40 × 11,419.20
  4. Step 4: Simplify right side
    12,974.40x = 221,742,593.28
  5. Step 5: Solve for x
    x = 221,742,593.28/12,974.40
  6. Step 6: Final answer
    x = 17,090.78

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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.