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Finding the Fourth Proportional to 18,305.65, 27,463.64 and 5,158.14

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Solution

The fourth proportional to 18,305.65, 27,463.64 and 5,158.14 is: 7,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,305.65 : 27,463.64 = 5,158.14 : x
  2. Step 2: Convert to fraction form
    18,305.65/27,463.64 = 5,158.14/x
  3. Step 3: Cross multiply
    18,305.65x = 27,463.64 × 5,158.14
  4. Step 4: Simplify right side
    18,305.65x = 141,661,300.03
  5. Step 5: Solve for x
    x = 141,661,300.03/18,305.65
  6. Step 6: Final answer
    x = 7,738.67

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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.