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Finding the Fourth Proportional to 12,026.22, 16,596.25 and 6,990.54

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Solution

The fourth proportional to 12,026.22, 16,596.25 and 6,990.54 is: 9,646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.22 : 16,596.25 = 6,990.54 : x
  2. Step 2: Convert to fraction form
    12,026.22/16,596.25 = 6,990.54/x
  3. Step 3: Cross multiply
    12,026.22x = 16,596.25 × 6,990.54
  4. Step 4: Simplify right side
    12,026.22x = 116,016,788.93
  5. Step 5: Solve for x
    x = 116,016,788.93/12,026.22
  6. Step 6: Final answer
    x = 9,646.99

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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.