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Finding the Fourth Proportional to 12,872.14, 19,321.85 and 11,400.91

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Solution

The fourth proportional to 12,872.14, 19,321.85 and 11,400.91 is: 17,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.14 : 19,321.85 = 11,400.91 : x
  2. Step 2: Convert to fraction form
    12,872.14/19,321.85 = 11,400.91/x
  3. Step 3: Cross multiply
    12,872.14x = 19,321.85 × 11,400.91
  4. Step 4: Simplify right side
    12,872.14x = 220,286,672.88
  5. Step 5: Solve for x
    x = 220,286,672.88/12,872.14
  6. Step 6: Final answer
    x = 17,113.45

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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.