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Finding the Fourth Proportional to 12,878.39, 19,317.21 and 4,113.83

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Solution

The fourth proportional to 12,878.39, 19,317.21 and 4,113.83 is: 6,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.39 : 19,317.21 = 4,113.83 : x
  2. Step 2: Convert to fraction form
    12,878.39/19,317.21 = 4,113.83/x
  3. Step 3: Cross multiply
    12,878.39x = 19,317.21 × 4,113.83
  4. Step 4: Simplify right side
    12,878.39x = 79,467,621.43
  5. Step 5: Solve for x
    x = 79,467,621.43/12,878.39
  6. Step 6: Final answer
    x = 6,170.62

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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.