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Finding the Fourth Proportional to 18,526.14, 27,789.21 and 6,836.63

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Solution

The fourth proportional to 18,526.14, 27,789.21 and 6,836.63 is: 10,254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,526.14 : 27,789.21 = 6,836.63 : x
  2. Step 2: Convert to fraction form
    18,526.14/27,789.21 = 6,836.63/x
  3. Step 3: Cross multiply
    18,526.14x = 27,789.21 × 6,836.63
  4. Step 4: Simplify right side
    18,526.14x = 189,984,407.82
  5. Step 5: Solve for x
    x = 189,984,407.82/18,526.14
  6. Step 6: Final answer
    x = 10,254.94

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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.