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Finding the Fourth Proportional to 12,026.83, 16,596.75 and 6,722.14

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Solution

The fourth proportional to 12,026.83, 16,596.75 and 6,722.14 is: 9,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.83 : 16,596.75 = 6,722.14 : x
  2. Step 2: Convert to fraction form
    12,026.83/16,596.75 = 6,722.14/x
  3. Step 3: Cross multiply
    12,026.83x = 16,596.75 × 6,722.14
  4. Step 4: Simplify right side
    12,026.83x = 111,565,677.05
  5. Step 5: Solve for x
    x = 111,565,677.05/12,026.83
  6. Step 6: Final answer
    x = 9,276.40

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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.