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Finding the Fourth Proportional to 12,911.81, 19,365.90 and 4,145.59

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Solution

The fourth proportional to 12,911.81, 19,365.90 and 4,145.59 is: 6,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.81 : 19,365.90 = 4,145.59 : x
  2. Step 2: Convert to fraction form
    12,911.81/19,365.90 = 4,145.59/x
  3. Step 3: Cross multiply
    12,911.81x = 19,365.90 × 4,145.59
  4. Step 4: Simplify right side
    12,911.81x = 80,283,041.41
  5. Step 5: Solve for x
    x = 80,283,041.41/12,911.81
  6. Step 6: Final answer
    x = 6,217.80

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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.