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Finding the Fourth Proportional to 12,238.20, 18,357.30 and 4,446

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Solution

The fourth proportional to 12,238.20, 18,357.30 and 4,446 is: 6,669.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.20 : 18,357.30 = 4,446 : x
  2. Step 2: Convert to fraction form
    12,238.20/18,357.30 = 4,446/x
  3. Step 3: Cross multiply
    12,238.20x = 18,357.30 × 4,446
  4. Step 4: Simplify right side
    12,238.20x = 81,616,555.80
  5. Step 5: Solve for x
    x = 81,616,555.80/12,238.20
  6. Step 6: Final answer
    x = 6,669.00

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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.