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Finding the Fourth Proportional to 13,321.64, 19,971.12 and 8,131.16

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Solution

The fourth proportional to 13,321.64, 19,971.12 and 8,131.16 is: 12,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,321.64 : 19,971.12 = 8,131.16 : x
  2. Step 2: Convert to fraction form
    13,321.64/19,971.12 = 8,131.16/x
  3. Step 3: Cross multiply
    13,321.64x = 19,971.12 × 8,131.16
  4. Step 4: Simplify right side
    13,321.64x = 162,388,372.10
  5. Step 5: Solve for x
    x = 162,388,372.10/13,321.64
  6. Step 6: Final answer
    x = 12,189.82

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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.