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Finding the Fourth Proportional to 11,297.68, 16,950.16 and 9,467.89

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Solution

The fourth proportional to 11,297.68, 16,950.16 and 9,467.89 is: 14,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.68 : 16,950.16 = 9,467.89 : x
  2. Step 2: Convert to fraction form
    11,297.68/16,950.16 = 9,467.89/x
  3. Step 3: Cross multiply
    11,297.68x = 16,950.16 × 9,467.89
  4. Step 4: Simplify right side
    11,297.68x = 160,482,219.82
  5. Step 5: Solve for x
    x = 160,482,219.82/11,297.68
  6. Step 6: Final answer
    x = 14,204.89

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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.