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Finding the Fourth Proportional to 17,811.50, 24,579.60 and 12,716.42

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Solution

The fourth proportional to 17,811.50, 24,579.60 and 12,716.42 is: 17,548.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.50 : 24,579.60 = 12,716.42 : x
  2. Step 2: Convert to fraction form
    17,811.50/24,579.60 = 12,716.42/x
  3. Step 3: Cross multiply
    17,811.50x = 24,579.60 × 12,716.42
  4. Step 4: Simplify right side
    17,811.50x = 312,564,517.03
  5. Step 5: Solve for x
    x = 312,564,517.03/17,811.50
  6. Step 6: Final answer
    x = 17,548.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.