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Finding the Fourth Proportional to 18,206.21, 27,319.93 and 7,675.59

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Solution

The fourth proportional to 18,206.21, 27,319.93 and 7,675.59 is: 11,517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.21 : 27,319.93 = 7,675.59 : x
  2. Step 2: Convert to fraction form
    18,206.21/27,319.93 = 7,675.59/x
  3. Step 3: Cross multiply
    18,206.21x = 27,319.93 × 7,675.59
  4. Step 4: Simplify right side
    18,206.21x = 209,696,581.51
  5. Step 5: Solve for x
    x = 209,696,581.51/18,206.21
  6. Step 6: Final answer
    x = 11,517.86

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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.