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Finding the Fourth Proportional to 13,086.38, 19,631.38 and 4,764.84

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Solution

The fourth proportional to 13,086.38, 19,631.38 and 4,764.84 is: 7,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.38 : 19,631.38 = 4,764.84 : x
  2. Step 2: Convert to fraction form
    13,086.38/19,631.38 = 4,764.84/x
  3. Step 3: Cross multiply
    13,086.38x = 19,631.38 × 4,764.84
  4. Step 4: Simplify right side
    13,086.38x = 93,540,384.68
  5. Step 5: Solve for x
    x = 93,540,384.68/13,086.38
  6. Step 6: Final answer
    x = 7,147.92

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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.