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Finding the Fourth Proportional to 13,184.87, 19,775.82 and 3,324.14

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Solution

The fourth proportional to 13,184.87, 19,775.82 and 3,324.14 is: 4,985.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.87 : 19,775.82 = 3,324.14 : x
  2. Step 2: Convert to fraction form
    13,184.87/19,775.82 = 3,324.14/x
  3. Step 3: Cross multiply
    13,184.87x = 19,775.82 × 3,324.14
  4. Step 4: Simplify right side
    13,184.87x = 65,737,495.42
  5. Step 5: Solve for x
    x = 65,737,495.42/13,184.87
  6. Step 6: Final answer
    x = 4,985.83

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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.