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Finding the Fourth Proportional to 12,709.92, 19,076.80 and 6,871.12

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Solution

The fourth proportional to 12,709.92, 19,076.80 and 6,871.12 is: 10,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.92 : 19,076.80 = 6,871.12 : x
  2. Step 2: Convert to fraction form
    12,709.92/19,076.80 = 6,871.12/x
  3. Step 3: Cross multiply
    12,709.92x = 19,076.80 × 6,871.12
  4. Step 4: Simplify right side
    12,709.92x = 131,078,982.02
  5. Step 5: Solve for x
    x = 131,078,982.02/12,709.92
  6. Step 6: Final answer
    x = 10,313.12

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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.