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Finding the Fourth Proportional to 18,539.69, 27,797.18 and 9,633.14

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Solution

The fourth proportional to 18,539.69, 27,797.18 and 9,633.14 is: 14,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,539.69 : 27,797.18 = 9,633.14 : x
  2. Step 2: Convert to fraction form
    18,539.69/27,797.18 = 9,633.14/x
  3. Step 3: Cross multiply
    18,539.69x = 27,797.18 × 9,633.14
  4. Step 4: Simplify right side
    18,539.69x = 267,774,011.64
  5. Step 5: Solve for x
    x = 267,774,011.64/18,539.69
  6. Step 6: Final answer
    x = 14,443.28

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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.