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Finding the Fourth Proportional to 12,531.88, 18,687.24 and 12,419.40

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Solution

The fourth proportional to 12,531.88, 18,687.24 and 12,419.40 is: 18,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.88 : 18,687.24 = 12,419.40 : x
  2. Step 2: Convert to fraction form
    12,531.88/18,687.24 = 12,419.40/x
  3. Step 3: Cross multiply
    12,531.88x = 18,687.24 × 12,419.40
  4. Step 4: Simplify right side
    12,531.88x = 232,084,308.46
  5. Step 5: Solve for x
    x = 232,084,308.46/12,531.88
  6. Step 6: Final answer
    x = 18,519.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.