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Finding the Fourth Proportional to 13,019.54, 19,529.24 and 3,158.87

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Solution

The fourth proportional to 13,019.54, 19,529.24 and 3,158.87 is: 4,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.54 : 19,529.24 = 3,158.87 : x
  2. Step 2: Convert to fraction form
    13,019.54/19,529.24 = 3,158.87/x
  3. Step 3: Cross multiply
    13,019.54x = 19,529.24 × 3,158.87
  4. Step 4: Simplify right side
    13,019.54x = 61,690,216.92
  5. Step 5: Solve for x
    x = 61,690,216.92/13,019.54
  6. Step 6: Final answer
    x = 4,738.28

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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.