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Finding the Fourth Proportional to 13,019.69, 19,529.50 and 3,158.96

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Solution

The fourth proportional to 13,019.69, 19,529.50 and 3,158.96 is: 4,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.69 : 19,529.50 = 3,158.96 : x
  2. Step 2: Convert to fraction form
    13,019.69/19,529.50 = 3,158.96/x
  3. Step 3: Cross multiply
    13,019.69x = 19,529.50 × 3,158.96
  4. Step 4: Simplify right side
    13,019.69x = 61,692,803.78
  5. Step 5: Solve for x
    x = 61,692,803.78/13,019.69
  6. Step 6: Final answer
    x = 4,738.43

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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.