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Finding the Fourth Proportional to 12,026.41, 16,596.49 and 6,993.58

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Solution

The fourth proportional to 12,026.41, 16,596.49 and 6,993.58 is: 9,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.41 : 16,596.49 = 6,993.58 : x
  2. Step 2: Convert to fraction form
    12,026.41/16,596.49 = 6,993.58/x
  3. Step 3: Cross multiply
    12,026.41x = 16,596.49 × 6,993.58
  4. Step 4: Simplify right side
    12,026.41x = 116,068,880.53
  5. Step 5: Solve for x
    x = 116,068,880.53/12,026.41
  6. Step 6: Final answer
    x = 9,651.17

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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.