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Finding the Fourth Proportional to 18,284.30, 27,427.35 and 9,536.30

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Solution

The fourth proportional to 18,284.30, 27,427.35 and 9,536.30 is: 14,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,284.30 : 27,427.35 = 9,536.30 : x
  2. Step 2: Convert to fraction form
    18,284.30/27,427.35 = 9,536.30/x
  3. Step 3: Cross multiply
    18,284.30x = 27,427.35 × 9,536.30
  4. Step 4: Simplify right side
    18,284.30x = 261,555,437.81
  5. Step 5: Solve for x
    x = 261,555,437.81/18,284.30
  6. Step 6: Final answer
    x = 14,304.92

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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.