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Finding the Fourth Proportional to 12,911.86, 19,365.96 and 4,145.62

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Solution

The fourth proportional to 12,911.86, 19,365.96 and 4,145.62 is: 6,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.86 : 19,365.96 = 4,145.62 : x
  2. Step 2: Convert to fraction form
    12,911.86/19,365.96 = 4,145.62/x
  3. Step 3: Cross multiply
    12,911.86x = 19,365.96 × 4,145.62
  4. Step 4: Simplify right side
    12,911.86x = 80,283,911.10
  5. Step 5: Solve for x
    x = 80,283,911.10/12,911.86
  6. Step 6: Final answer
    x = 6,217.84

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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.