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Finding the Fourth Proportional to 18,824.64, 25,977.92 and 10,758.16

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Solution

The fourth proportional to 18,824.64, 25,977.92 and 10,758.16 is: 14,846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,824.64 : 25,977.92 = 10,758.16 : x
  2. Step 2: Convert to fraction form
    18,824.64/25,977.92 = 10,758.16/x
  3. Step 3: Cross multiply
    18,824.64x = 25,977.92 × 10,758.16
  4. Step 4: Simplify right side
    18,824.64x = 279,474,619.83
  5. Step 5: Solve for x
    x = 279,474,619.83/18,824.64
  6. Step 6: Final answer
    x = 14,846.21

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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.