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Finding the Fourth Proportional to 13,872.67, 19,144.62 and 8,421.80

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Solution

The fourth proportional to 13,872.67, 19,144.62 and 8,421.80 is: 11,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.67 : 19,144.62 = 8,421.80 : x
  2. Step 2: Convert to fraction form
    13,872.67/19,144.62 = 8,421.80/x
  3. Step 3: Cross multiply
    13,872.67x = 19,144.62 × 8,421.80
  4. Step 4: Simplify right side
    13,872.67x = 161,232,160.72
  5. Step 5: Solve for x
    x = 161,232,160.72/13,872.67
  6. Step 6: Final answer
    x = 11,622.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.