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Finding the Fourth Proportional to 18,524.56, 25,563.84 and 10,141

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Solution

The fourth proportional to 18,524.56, 25,563.84 and 10,141 is: 13,994.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,524.56 : 25,563.84 = 10,141 : x
  2. Step 2: Convert to fraction form
    18,524.56/25,563.84 = 10,141/x
  3. Step 3: Cross multiply
    18,524.56x = 25,563.84 × 10,141
  4. Step 4: Simplify right side
    18,524.56x = 259,242,901.44
  5. Step 5: Solve for x
    x = 259,242,901.44/18,524.56
  6. Step 6: Final answer
    x = 13,994.55

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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.