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Finding the Fourth Proportional to 12,026.14, 16,596.11 and 6,990.46

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Solution

The fourth proportional to 12,026.14, 16,596.11 and 6,990.46 is: 9,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.14 : 16,596.11 = 6,990.46 : x
  2. Step 2: Convert to fraction form
    12,026.14/16,596.11 = 6,990.46/x
  3. Step 3: Cross multiply
    12,026.14x = 16,596.11 × 6,990.46
  4. Step 4: Simplify right side
    12,026.14x = 116,014,443.11
  5. Step 5: Solve for x
    x = 116,014,443.11/12,026.14
  6. Step 6: Final answer
    x = 9,646.86

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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.