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Finding the Fourth Proportional to 13,154.70, 19,732.05 and 3,919.50

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Solution

The fourth proportional to 13,154.70, 19,732.05 and 3,919.50 is: 5,879.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154.70 : 19,732.05 = 3,919.50 : x
  2. Step 2: Convert to fraction form
    13,154.70/19,732.05 = 3,919.50/x
  3. Step 3: Cross multiply
    13,154.70x = 19,732.05 × 3,919.50
  4. Step 4: Simplify right side
    13,154.70x = 77,339,769.98
  5. Step 5: Solve for x
    x = 77,339,769.98/13,154.70
  6. Step 6: Final answer
    x = 5,879.25

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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.