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Finding the Fourth Proportional to 13,019.40, 19,529.10 and 10,830.60

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Solution

The fourth proportional to 13,019.40, 19,529.10 and 10,830.60 is: 16,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.40 : 19,529.10 = 10,830.60 : x
  2. Step 2: Convert to fraction form
    13,019.40/19,529.10 = 10,830.60/x
  3. Step 3: Cross multiply
    13,019.40x = 19,529.10 × 10,830.60
  4. Step 4: Simplify right side
    13,019.40x = 211,511,870.46
  5. Step 5: Solve for x
    x = 211,511,870.46/13,019.40
  6. Step 6: Final answer
    x = 16,245.90

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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.