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Finding the Fourth Proportional to 12,905.64, 19,357.20 and 4,138.20

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Solution

The fourth proportional to 12,905.64, 19,357.20 and 4,138.20 is: 6,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.64 : 19,357.20 = 4,138.20 : x
  2. Step 2: Convert to fraction form
    12,905.64/19,357.20 = 4,138.20/x
  3. Step 3: Cross multiply
    12,905.64x = 19,357.20 × 4,138.20
  4. Step 4: Simplify right side
    12,905.64x = 80,103,965.04
  5. Step 5: Solve for x
    x = 80,103,965.04/12,905.64
  6. Step 6: Final answer
    x = 6,206.90

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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.