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Finding the Fourth Proportional to 12,819.60, 19,231.38 and 5,424.10

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Solution

The fourth proportional to 12,819.60, 19,231.38 and 5,424.10 is: 8,136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.60 : 19,231.38 = 5,424.10 : x
  2. Step 2: Convert to fraction form
    12,819.60/19,231.38 = 5,424.10/x
  3. Step 3: Cross multiply
    12,819.60x = 19,231.38 × 5,424.10
  4. Step 4: Simplify right side
    12,819.60x = 104,312,928.26
  5. Step 5: Solve for x
    x = 104,312,928.26/12,819.60
  6. Step 6: Final answer
    x = 8,136.99

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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.