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Finding the Fourth Proportional to 12,206.35, 18,259.39 and 9,745.98

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Solution

The fourth proportional to 12,206.35, 18,259.39 and 9,745.98 is: 14,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.35 : 18,259.39 = 9,745.98 : x
  2. Step 2: Convert to fraction form
    12,206.35/18,259.39 = 9,745.98/x
  3. Step 3: Cross multiply
    12,206.35x = 18,259.39 × 9,745.98
  4. Step 4: Simplify right side
    12,206.35x = 177,955,649.75
  5. Step 5: Solve for x
    x = 177,955,649.75/12,206.35
  6. Step 6: Final answer
    x = 14,578.94

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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.