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Finding the Fourth Proportional to 12,302.75, 16,936.71 and 11,737.84

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Solution

The fourth proportional to 12,302.75, 16,936.71 and 11,737.84 is: 16,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.75 : 16,936.71 = 11,737.84 : x
  2. Step 2: Convert to fraction form
    12,302.75/16,936.71 = 11,737.84/x
  3. Step 3: Cross multiply
    12,302.75x = 16,936.71 × 11,737.84
  4. Step 4: Simplify right side
    12,302.75x = 198,800,392.11
  5. Step 5: Solve for x
    x = 198,800,392.11/12,302.75
  6. Step 6: Final answer
    x = 16,159.02

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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.