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Finding the Fourth Proportional to 12,724.05, 17,556.90 and 7,684.89

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Solution

The fourth proportional to 12,724.05, 17,556.90 and 7,684.89 is: 10,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724.05 : 17,556.90 = 7,684.89 : x
  2. Step 2: Convert to fraction form
    12,724.05/17,556.90 = 7,684.89/x
  3. Step 3: Cross multiply
    12,724.05x = 17,556.90 × 7,684.89
  4. Step 4: Simplify right side
    12,724.05x = 134,922,845.24
  5. Step 5: Solve for x
    x = 134,922,845.24/12,724.05
  6. Step 6: Final answer
    x = 10,603.77

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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.