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Finding the Fourth Proportional to 12,871.92, 19,308.34 and 4,438.38

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Solution

The fourth proportional to 12,871.92, 19,308.34 and 4,438.38 is: 6,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.92 : 19,308.34 = 4,438.38 : x
  2. Step 2: Convert to fraction form
    12,871.92/19,308.34 = 4,438.38/x
  3. Step 3: Cross multiply
    12,871.92x = 19,308.34 × 4,438.38
  4. Step 4: Simplify right side
    12,871.92x = 85,697,750.09
  5. Step 5: Solve for x
    x = 85,697,750.09/12,871.92
  6. Step 6: Final answer
    x = 6,657.73

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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.