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Finding the Fourth Proportional to 12,238.20, 18,356.96 and 3,473

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Solution

The fourth proportional to 12,238.20, 18,356.96 and 3,473 is: 5,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.20 : 18,356.96 = 3,473 : x
  2. Step 2: Convert to fraction form
    12,238.20/18,356.96 = 3,473/x
  3. Step 3: Cross multiply
    12,238.20x = 18,356.96 × 3,473
  4. Step 4: Simplify right side
    12,238.20x = 63,753,722.08
  5. Step 5: Solve for x
    x = 63,753,722.08/12,238.20
  6. Step 6: Final answer
    x = 5,209.40

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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.