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Finding the Fourth Proportional to 13,267.32, 19,868.18 and 8,321.96

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Solution

The fourth proportional to 13,267.32, 19,868.18 and 8,321.96 is: 12,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,267.32 : 19,868.18 = 8,321.96 : x
  2. Step 2: Convert to fraction form
    13,267.32/19,868.18 = 8,321.96/x
  3. Step 3: Cross multiply
    13,267.32x = 19,868.18 × 8,321.96
  4. Step 4: Simplify right side
    13,267.32x = 165,342,199.23
  5. Step 5: Solve for x
    x = 165,342,199.23/13,267.32
  6. Step 6: Final answer
    x = 12,462.37

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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.