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Finding the Fourth Proportional to 12,419.64, 18,637.56 and 11,418.48

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Solution

The fourth proportional to 12,419.64, 18,637.56 and 11,418.48 is: 17,135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.64 : 18,637.56 = 11,418.48 : x
  2. Step 2: Convert to fraction form
    12,419.64/18,637.56 = 11,418.48/x
  3. Step 3: Cross multiply
    12,419.64x = 18,637.56 × 11,418.48
  4. Step 4: Simplify right side
    12,419.64x = 212,812,606.11
  5. Step 5: Solve for x
    x = 212,812,606.11/12,419.64
  6. Step 6: Final answer
    x = 17,135.17

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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.