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Finding the Fourth Proportional to 12,282.40, 18,403.84 and 7,349.70

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Solution

The fourth proportional to 12,282.40, 18,403.84 and 7,349.70 is: 11,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.40 : 18,403.84 = 7,349.70 : x
  2. Step 2: Convert to fraction form
    12,282.40/18,403.84 = 7,349.70/x
  3. Step 3: Cross multiply
    12,282.40x = 18,403.84 × 7,349.70
  4. Step 4: Simplify right side
    12,282.40x = 135,262,702.85
  5. Step 5: Solve for x
    x = 135,262,702.85/12,282.40
  6. Step 6: Final answer
    x = 11,012.73

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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.