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Finding the Fourth Proportional to 12,580.87, 18,871.17 and 5,183.14

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Solution

The fourth proportional to 12,580.87, 18,871.17 and 5,183.14 is: 7,774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.87 : 18,871.17 = 5,183.14 : x
  2. Step 2: Convert to fraction form
    12,580.87/18,871.17 = 5,183.14/x
  3. Step 3: Cross multiply
    12,580.87x = 18,871.17 × 5,183.14
  4. Step 4: Simplify right side
    12,580.87x = 97,811,916.07
  5. Step 5: Solve for x
    x = 97,811,916.07/12,580.87
  6. Step 6: Final answer
    x = 7,774.65

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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.