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Finding the Fourth Proportional to 13,313, 19,968.96 and 3,952.64

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Solution

The fourth proportional to 13,313, 19,968.96 and 3,952.64 is: 5,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,313 : 19,968.96 = 3,952.64 : x
  2. Step 2: Convert to fraction form
    13,313/19,968.96 = 3,952.64/x
  3. Step 3: Cross multiply
    13,313x = 19,968.96 × 3,952.64
  4. Step 4: Simplify right side
    13,313x = 78,930,110.05
  5. Step 5: Solve for x
    x = 78,930,110.05/13,313
  6. Step 6: Final answer
    x = 5,928.80

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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.