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Finding the Fourth Proportional to 12,817.62, 17,688.36 and 7,512.45

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Solution

The fourth proportional to 12,817.62, 17,688.36 and 7,512.45 is: 10,367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.62 : 17,688.36 = 7,512.45 : x
  2. Step 2: Convert to fraction form
    12,817.62/17,688.36 = 7,512.45/x
  3. Step 3: Cross multiply
    12,817.62x = 17,688.36 × 7,512.45
  4. Step 4: Simplify right side
    12,817.62x = 132,882,920.08
  5. Step 5: Solve for x
    x = 132,882,920.08/12,817.62
  6. Step 6: Final answer
    x = 10,367.21

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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.