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Finding the Fourth Proportional to 12,277.64, 16,950.12 and 8,093.18

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Solution

The fourth proportional to 12,277.64, 16,950.12 and 8,093.18 is: 11,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.64 : 16,950.12 = 8,093.18 : x
  2. Step 2: Convert to fraction form
    12,277.64/16,950.12 = 8,093.18/x
  3. Step 3: Cross multiply
    12,277.64x = 16,950.12 × 8,093.18
  4. Step 4: Simplify right side
    12,277.64x = 137,180,372.18
  5. Step 5: Solve for x
    x = 137,180,372.18/12,277.64
  6. Step 6: Final answer
    x = 11,173.19

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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.