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Finding the Fourth Proportional to 11,322.90, 16,959.56 and 8,026

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Solution

The fourth proportional to 11,322.90, 16,959.56 and 8,026 is: 12,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.90 : 16,959.56 = 8,026 : x
  2. Step 2: Convert to fraction form
    11,322.90/16,959.56 = 8,026/x
  3. Step 3: Cross multiply
    11,322.90x = 16,959.56 × 8,026
  4. Step 4: Simplify right side
    11,322.90x = 136,117,428.56
  5. Step 5: Solve for x
    x = 136,117,428.56/11,322.90
  6. Step 6: Final answer
    x = 12,021.43

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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.