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Finding the Fourth Proportional to 12,114.60, 16,718.40 and 6,737.49

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Solution

The fourth proportional to 12,114.60, 16,718.40 and 6,737.49 is: 9,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.60 : 16,718.40 = 6,737.49 : x
  2. Step 2: Convert to fraction form
    12,114.60/16,718.40 = 6,737.49/x
  3. Step 3: Cross multiply
    12,114.60x = 16,718.40 × 6,737.49
  4. Step 4: Simplify right side
    12,114.60x = 112,640,052.82
  5. Step 5: Solve for x
    x = 112,640,052.82/12,114.60
  6. Step 6: Final answer
    x = 9,297.88

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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.