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Finding the Fourth Proportional to 12,551.70, 18,824.38 and 5,158.20

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Solution

The fourth proportional to 12,551.70, 18,824.38 and 5,158.20 is: 7,736.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551.70 : 18,824.38 = 5,158.20 : x
  2. Step 2: Convert to fraction form
    12,551.70/18,824.38 = 5,158.20/x
  3. Step 3: Cross multiply
    12,551.70x = 18,824.38 × 5,158.20
  4. Step 4: Simplify right side
    12,551.70x = 97,099,916.92
  5. Step 5: Solve for x
    x = 97,099,916.92/12,551.70
  6. Step 6: Final answer
    x = 7,736.00

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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.