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Finding the Fourth Proportional to 18,524, 25,563.36 and 10,140.32

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Solution

The fourth proportional to 18,524, 25,563.36 and 10,140.32 is: 13,993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,524 : 25,563.36 = 10,140.32 : x
  2. Step 2: Convert to fraction form
    18,524/25,563.36 = 10,140.32/x
  3. Step 3: Cross multiply
    18,524x = 25,563.36 × 10,140.32
  4. Step 4: Simplify right side
    18,524x = 259,220,650.68
  5. Step 5: Solve for x
    x = 259,220,650.68/18,524
  6. Step 6: Final answer
    x = 13,993.77

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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.