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Finding the Fourth Proportional to 13,019.40, 19,529.10 and 9,082.80

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Solution

The fourth proportional to 13,019.40, 19,529.10 and 9,082.80 is: 13,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.40 : 19,529.10 = 9,082.80 : x
  2. Step 2: Convert to fraction form
    13,019.40/19,529.10 = 9,082.80/x
  3. Step 3: Cross multiply
    13,019.40x = 19,529.10 × 9,082.80
  4. Step 4: Simplify right side
    13,019.40x = 177,378,909.48
  5. Step 5: Solve for x
    x = 177,378,909.48/13,019.40
  6. Step 6: Final answer
    x = 13,624.20

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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.