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Finding the Fourth Proportional to 12,034.28, 18,026.94 and 9,821

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Solution

The fourth proportional to 12,034.28, 18,026.94 and 9,821 is: 14,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.28 : 18,026.94 = 9,821 : x
  2. Step 2: Convert to fraction form
    12,034.28/18,026.94 = 9,821/x
  3. Step 3: Cross multiply
    12,034.28x = 18,026.94 × 9,821
  4. Step 4: Simplify right side
    12,034.28x = 177,042,577.74
  5. Step 5: Solve for x
    x = 177,042,577.74/12,034.28
  6. Step 6: Final answer
    x = 14,711.52

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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.