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Finding the Fourth Proportional to 13,084.20, 19,625.40 and 4,199.40

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Solution

The fourth proportional to 13,084.20, 19,625.40 and 4,199.40 is: 6,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.20 : 19,625.40 = 4,199.40 : x
  2. Step 2: Convert to fraction form
    13,084.20/19,625.40 = 4,199.40/x
  3. Step 3: Cross multiply
    13,084.20x = 19,625.40 × 4,199.40
  4. Step 4: Simplify right side
    13,084.20x = 82,414,904.76
  5. Step 5: Solve for x
    x = 82,414,904.76/13,084.20
  6. Step 6: Final answer
    x = 6,298.81

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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.