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Finding the Fourth Proportional to 13,112.56, 19,668.84 and 3,878.56

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Solution

The fourth proportional to 13,112.56, 19,668.84 and 3,878.56 is: 5,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,112.56 : 19,668.84 = 3,878.56 : x
  2. Step 2: Convert to fraction form
    13,112.56/19,668.84 = 3,878.56/x
  3. Step 3: Cross multiply
    13,112.56x = 19,668.84 × 3,878.56
  4. Step 4: Simplify right side
    13,112.56x = 76,286,776.07
  5. Step 5: Solve for x
    x = 76,286,776.07/13,112.56
  6. Step 6: Final answer
    x = 5,817.84

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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.