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Finding the Fourth Proportional to 12,205.40, 18,311.36 and 5,185.74

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Solution

The fourth proportional to 12,205.40, 18,311.36 and 5,185.74 is: 7,780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.40 : 18,311.36 = 5,185.74 : x
  2. Step 2: Convert to fraction form
    12,205.40/18,311.36 = 5,185.74/x
  3. Step 3: Cross multiply
    12,205.40x = 18,311.36 × 5,185.74
  4. Step 4: Simplify right side
    12,205.40x = 94,957,952.01
  5. Step 5: Solve for x
    x = 94,957,952.01/12,205.40
  6. Step 6: Final answer
    x = 7,780.00

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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.