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Finding the Fourth Proportional to 12,964.60, 19,449.96 and 4,199.50

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Solution

The fourth proportional to 12,964.60, 19,449.96 and 4,199.50 is: 6,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.60 : 19,449.96 = 4,199.50 : x
  2. Step 2: Convert to fraction form
    12,964.60/19,449.96 = 4,199.50/x
  3. Step 3: Cross multiply
    12,964.60x = 19,449.96 × 4,199.50
  4. Step 4: Simplify right side
    12,964.60x = 81,680,107.02
  5. Step 5: Solve for x
    x = 81,680,107.02/12,964.60
  6. Step 6: Final answer
    x = 6,300.24

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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.