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Finding the Fourth Proportional to 12,269.12, 18,405.84 and 4,488.80

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Solution

The fourth proportional to 12,269.12, 18,405.84 and 4,488.80 is: 6,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.12 : 18,405.84 = 4,488.80 : x
  2. Step 2: Convert to fraction form
    12,269.12/18,405.84 = 4,488.80/x
  3. Step 3: Cross multiply
    12,269.12x = 18,405.84 × 4,488.80
  4. Step 4: Simplify right side
    12,269.12x = 82,620,134.59
  5. Step 5: Solve for x
    x = 82,620,134.59/12,269.12
  6. Step 6: Final answer
    x = 6,733.99

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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.