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Finding the Fourth Proportional to 18,409.28, 25,400.24 and 10,450

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Solution

The fourth proportional to 18,409.28, 25,400.24 and 10,450 is: 14,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409.28 : 25,400.24 = 10,450 : x
  2. Step 2: Convert to fraction form
    18,409.28/25,400.24 = 10,450/x
  3. Step 3: Cross multiply
    18,409.28x = 25,400.24 × 10,450
  4. Step 4: Simplify right side
    18,409.28x = 265,432,508.00
  5. Step 5: Solve for x
    x = 265,432,508.00/18,409.28
  6. Step 6: Final answer
    x = 14,418.41

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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.