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Finding the Fourth Proportional to 18,825, 25,979.31 and 10,441.50

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Solution

The fourth proportional to 18,825, 25,979.31 and 10,441.50 is: 14,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,825 : 25,979.31 = 10,441.50 : x
  2. Step 2: Convert to fraction form
    18,825/25,979.31 = 10,441.50/x
  3. Step 3: Cross multiply
    18,825x = 25,979.31 × 10,441.50
  4. Step 4: Simplify right side
    18,825x = 271,262,965.37
  5. Step 5: Solve for x
    x = 271,262,965.37/18,825
  6. Step 6: Final answer
    x = 14,409.72

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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.