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Finding the Fourth Proportional to 12,963.87, 19,449.84 and 4,643.96

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Solution

The fourth proportional to 12,963.87, 19,449.84 and 4,643.96 is: 6,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.87 : 19,449.84 = 4,643.96 : x
  2. Step 2: Convert to fraction form
    12,963.87/19,449.84 = 4,643.96/x
  3. Step 3: Cross multiply
    12,963.87x = 19,449.84 × 4,643.96
  4. Step 4: Simplify right side
    12,963.87x = 90,324,158.50
  5. Step 5: Solve for x
    x = 90,324,158.50/12,963.87
  6. Step 6: Final answer
    x = 6,967.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.