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Finding the Fourth Proportional to 12,838.20, 19,257.30 and 12,643.80

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Solution

The fourth proportional to 12,838.20, 19,257.30 and 12,643.80 is: 18,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.20 : 19,257.30 = 12,643.80 : x
  2. Step 2: Convert to fraction form
    12,838.20/19,257.30 = 12,643.80/x
  3. Step 3: Cross multiply
    12,838.20x = 19,257.30 × 12,643.80
  4. Step 4: Simplify right side
    12,838.20x = 243,485,449.74
  5. Step 5: Solve for x
    x = 243,485,449.74/12,838.20
  6. Step 6: Final answer
    x = 18,965.70

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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.