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Finding the Fourth Proportional to 25,736, 38,668.54 and 16,380.06

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Solution

The fourth proportional to 25,736, 38,668.54 and 16,380.06 is: 24,611.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,736 : 38,668.54 = 16,380.06 : x
  2. Step 2: Convert to fraction form
    25,736/38,668.54 = 16,380.06/x
  3. Step 3: Cross multiply
    25,736x = 38,668.54 × 16,380.06
  4. Step 4: Simplify right side
    25,736x = 633,393,005.31
  5. Step 5: Solve for x
    x = 633,393,005.31/25,736
  6. Step 6: Final answer
    x = 24,611.17

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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.