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Finding the Fourth Proportional to 18,538.14, 27,809.37 and 6,059.10

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Solution

The fourth proportional to 18,538.14, 27,809.37 and 6,059.10 is: 9,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538.14 : 27,809.37 = 6,059.10 : x
  2. Step 2: Convert to fraction form
    18,538.14/27,809.37 = 6,059.10/x
  3. Step 3: Cross multiply
    18,538.14x = 27,809.37 × 6,059.10
  4. Step 4: Simplify right side
    18,538.14x = 168,499,753.77
  5. Step 5: Solve for x
    x = 168,499,753.77/18,538.14
  6. Step 6: Final answer
    x = 9,089.36

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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.