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Finding the Fourth Proportional to 12,287.66, 18,438.64 and 5,171.38

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Solution

The fourth proportional to 12,287.66, 18,438.64 and 5,171.38 is: 7,760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.66 : 18,438.64 = 5,171.38 : x
  2. Step 2: Convert to fraction form
    12,287.66/18,438.64 = 5,171.38/x
  3. Step 3: Cross multiply
    12,287.66x = 18,438.64 × 5,171.38
  4. Step 4: Simplify right side
    12,287.66x = 95,353,214.12
  5. Step 5: Solve for x
    x = 95,353,214.12/12,287.66
  6. Step 6: Final answer
    x = 7,760.08

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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.