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Finding the Fourth Proportional to 11,983.68, 17,977.14 and 11,254.68

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Solution

The fourth proportional to 11,983.68, 17,977.14 and 11,254.68 is: 16,883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.68 : 17,977.14 = 11,254.68 : x
  2. Step 2: Convert to fraction form
    11,983.68/17,977.14 = 11,254.68/x
  3. Step 3: Cross multiply
    11,983.68x = 17,977.14 × 11,254.68
  4. Step 4: Simplify right side
    11,983.68x = 202,326,958.02
  5. Step 5: Solve for x
    x = 202,326,958.02/11,983.68
  6. Step 6: Final answer
    x = 16,883.54

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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.