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Finding the Fourth Proportional to 11,719.98, 16,241.40 and 11,498.49

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Solution

The fourth proportional to 11,719.98, 16,241.40 and 11,498.49 is: 15,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.98 : 16,241.40 = 11,498.49 : x
  2. Step 2: Convert to fraction form
    11,719.98/16,241.40 = 11,498.49/x
  3. Step 3: Cross multiply
    11,719.98x = 16,241.40 × 11,498.49
  4. Step 4: Simplify right side
    11,719.98x = 186,751,575.49
  5. Step 5: Solve for x
    x = 186,751,575.49/11,719.98
  6. Step 6: Final answer
    x = 15,934.46

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.