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Finding the Fourth Proportional to 12,529.86, 18,794.79 and 5,132.97

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Solution

The fourth proportional to 12,529.86, 18,794.79 and 5,132.97 is: 7,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529.86 : 18,794.79 = 5,132.97 : x
  2. Step 2: Convert to fraction form
    12,529.86/18,794.79 = 5,132.97/x
  3. Step 3: Cross multiply
    12,529.86x = 18,794.79 × 5,132.97
  4. Step 4: Simplify right side
    12,529.86x = 96,473,093.23
  5. Step 5: Solve for x
    x = 96,473,093.23/12,529.86
  6. Step 6: Final answer
    x = 7,699.46

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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.