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Finding the Fourth Proportional to 12,919.50, 19,379.40 and 4,154.40

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Solution

The fourth proportional to 12,919.50, 19,379.40 and 4,154.40 is: 6,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,919.50 : 19,379.40 = 4,154.40 : x
  2. Step 2: Convert to fraction form
    12,919.50/19,379.40 = 4,154.40/x
  3. Step 3: Cross multiply
    12,919.50x = 19,379.40 × 4,154.40
  4. Step 4: Simplify right side
    12,919.50x = 80,509,779.36
  5. Step 5: Solve for x
    x = 80,509,779.36/12,919.50
  6. Step 6: Final answer
    x = 6,231.65

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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.