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Finding the Fourth Proportional to 18,342.28, 27,507.66 and 7,812.19

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Solution

The fourth proportional to 18,342.28, 27,507.66 and 7,812.19 is: 11,715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,342.28 : 27,507.66 = 7,812.19 : x
  2. Step 2: Convert to fraction form
    18,342.28/27,507.66 = 7,812.19/x
  3. Step 3: Cross multiply
    18,342.28x = 27,507.66 × 7,812.19
  4. Step 4: Simplify right side
    18,342.28x = 214,895,066.38
  5. Step 5: Solve for x
    x = 214,895,066.38/18,342.28
  6. Step 6: Final answer
    x = 11,715.83

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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.