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Finding the Fourth Proportional to 11,855.22, 16,341.30 and 9,333.33

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Solution

The fourth proportional to 11,855.22, 16,341.30 and 9,333.33 is: 12,865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.22 : 16,341.30 = 9,333.33 : x
  2. Step 2: Convert to fraction form
    11,855.22/16,341.30 = 9,333.33/x
  3. Step 3: Cross multiply
    11,855.22x = 16,341.30 × 9,333.33
  4. Step 4: Simplify right side
    11,855.22x = 152,518,745.53
  5. Step 5: Solve for x
    x = 152,518,745.53/11,855.22
  6. Step 6: Final answer
    x = 12,865.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.