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Finding the Fourth Proportional to 12,121.61, 16,737.50 and 7,874.78

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Solution

The fourth proportional to 12,121.61, 16,737.50 and 7,874.78 is: 10,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.61 : 16,737.50 = 7,874.78 : x
  2. Step 2: Convert to fraction form
    12,121.61/16,737.50 = 7,874.78/x
  3. Step 3: Cross multiply
    12,121.61x = 16,737.50 × 7,874.78
  4. Step 4: Simplify right side
    12,121.61x = 131,804,066.25
  5. Step 5: Solve for x
    x = 131,804,066.25/12,121.61
  6. Step 6: Final answer
    x = 10,873.48

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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.