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Finding the Fourth Proportional to 12,011.68, 18,026.64 and 7,850.56

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Solution

The fourth proportional to 12,011.68, 18,026.64 and 7,850.56 is: 11,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.68 : 18,026.64 = 7,850.56 : x
  2. Step 2: Convert to fraction form
    12,011.68/18,026.64 = 7,850.56/x
  3. Step 3: Cross multiply
    12,011.68x = 18,026.64 × 7,850.56
  4. Step 4: Simplify right side
    12,011.68x = 141,519,218.92
  5. Step 5: Solve for x
    x = 141,519,218.92/12,011.68
  6. Step 6: Final answer
    x = 11,781.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.