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Finding the Fourth Proportional to 13,025.81, 19,525.73 and 5,123.39

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Solution

The fourth proportional to 13,025.81, 19,525.73 and 5,123.39 is: 7,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.81 : 19,525.73 = 5,123.39 : x
  2. Step 2: Convert to fraction form
    13,025.81/19,525.73 = 5,123.39/x
  3. Step 3: Cross multiply
    13,025.81x = 19,525.73 × 5,123.39
  4. Step 4: Simplify right side
    13,025.81x = 100,037,806.58
  5. Step 5: Solve for x
    x = 100,037,806.58/13,025.81
  6. Step 6: Final answer
    x = 7,679.97

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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.