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Finding the Fourth Proportional to 13,775.10, 20,651.82 and 5,878.83

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Solution

The fourth proportional to 13,775.10, 20,651.82 and 5,878.83 is: 8,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.10 : 20,651.82 = 5,878.83 : x
  2. Step 2: Convert to fraction form
    13,775.10/20,651.82 = 5,878.83/x
  3. Step 3: Cross multiply
    13,775.10x = 20,651.82 × 5,878.83
  4. Step 4: Simplify right side
    13,775.10x = 121,408,538.97
  5. Step 5: Solve for x
    x = 121,408,538.97/13,775.10
  6. Step 6: Final answer
    x = 8,813.62

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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.