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Finding the Fourth Proportional to 13,025.64, 19,538.46 and 8,651.64

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Solution

The fourth proportional to 13,025.64, 19,538.46 and 8,651.64 is: 12,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.64 : 19,538.46 = 8,651.64 : x
  2. Step 2: Convert to fraction form
    13,025.64/19,538.46 = 8,651.64/x
  3. Step 3: Cross multiply
    13,025.64x = 19,538.46 × 8,651.64
  4. Step 4: Simplify right side
    13,025.64x = 169,039,722.07
  5. Step 5: Solve for x
    x = 169,039,722.07/13,025.64
  6. Step 6: Final answer
    x = 12,977.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.