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Finding the Fourth Proportional to 18,212.14, 27,298.16 and 7,116.76

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Solution

The fourth proportional to 18,212.14, 27,298.16 and 7,116.76 is: 10,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,212.14 : 27,298.16 = 7,116.76 : x
  2. Step 2: Convert to fraction form
    18,212.14/27,298.16 = 7,116.76/x
  3. Step 3: Cross multiply
    18,212.14x = 27,298.16 × 7,116.76
  4. Step 4: Simplify right side
    18,212.14x = 194,274,453.16
  5. Step 5: Solve for x
    x = 194,274,453.16/18,212.14
  6. Step 6: Final answer
    x = 10,667.31

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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.