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Finding the Fourth Proportional to 13,321.72, 19,968.14 and 6,572

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Solution

The fourth proportional to 13,321.72, 19,968.14 and 6,572 is: 9,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,321.72 : 19,968.14 = 6,572 : x
  2. Step 2: Convert to fraction form
    13,321.72/19,968.14 = 6,572/x
  3. Step 3: Cross multiply
    13,321.72x = 19,968.14 × 6,572
  4. Step 4: Simplify right side
    13,321.72x = 131,230,616.08
  5. Step 5: Solve for x
    x = 131,230,616.08/13,321.72
  6. Step 6: Final answer
    x = 9,850.88

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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.