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Finding the Fourth Proportional to 12,725.69, 17,563.28 and 7,690.64

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Solution

The fourth proportional to 12,725.69, 17,563.28 and 7,690.64 is: 10,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725.69 : 17,563.28 = 7,690.64 : x
  2. Step 2: Convert to fraction form
    12,725.69/17,563.28 = 7,690.64/x
  3. Step 3: Cross multiply
    12,725.69x = 17,563.28 × 7,690.64
  4. Step 4: Simplify right side
    12,725.69x = 135,072,737.43
  5. Step 5: Solve for x
    x = 135,072,737.43/12,725.69
  6. Step 6: Final answer
    x = 10,614.18

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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.