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Finding the Fourth Proportional to 13,872.96, 19,144.67 and 7,585.34

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Solution

The fourth proportional to 13,872.96, 19,144.67 and 7,585.34 is: 10,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.96 : 19,144.67 = 7,585.34 : x
  2. Step 2: Convert to fraction form
    13,872.96/19,144.67 = 7,585.34/x
  3. Step 3: Cross multiply
    13,872.96x = 19,144.67 × 7,585.34
  4. Step 4: Simplify right side
    13,872.96x = 145,218,697.49
  5. Step 5: Solve for x
    x = 145,218,697.49/13,872.96
  6. Step 6: Final answer
    x = 10,467.75

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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.