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Finding the Fourth Proportional to 13,149.66, 19,722.30 and 3,913.50

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Solution

The fourth proportional to 13,149.66, 19,722.30 and 3,913.50 is: 5,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.66 : 19,722.30 = 3,913.50 : x
  2. Step 2: Convert to fraction form
    13,149.66/19,722.30 = 3,913.50/x
  3. Step 3: Cross multiply
    13,149.66x = 19,722.30 × 3,913.50
  4. Step 4: Simplify right side
    13,149.66x = 77,183,221.05
  5. Step 5: Solve for x
    x = 77,183,221.05/13,149.66
  6. Step 6: Final answer
    x = 5,869.60

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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.