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Finding the Fourth Proportional to 16,952.74, 23,380.05 and 13,409.74

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Solution

The fourth proportional to 16,952.74, 23,380.05 and 13,409.74 is: 18,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952.74 : 23,380.05 = 13,409.74 : x
  2. Step 2: Convert to fraction form
    16,952.74/23,380.05 = 13,409.74/x
  3. Step 3: Cross multiply
    16,952.74x = 23,380.05 × 13,409.74
  4. Step 4: Simplify right side
    16,952.74x = 313,520,391.69
  5. Step 5: Solve for x
    x = 313,520,391.69/16,952.74
  6. Step 6: Final answer
    x = 18,493.79

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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.