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Finding the Fourth Proportional to 13,675.68, 18,872.16 and 8,370.72

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Solution

The fourth proportional to 13,675.68, 18,872.16 and 8,370.72 is: 11,551.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.68 : 18,872.16 = 8,370.72 : x
  2. Step 2: Convert to fraction form
    13,675.68/18,872.16 = 8,370.72/x
  3. Step 3: Cross multiply
    13,675.68x = 18,872.16 × 8,370.72
  4. Step 4: Simplify right side
    13,675.68x = 157,973,567.16
  5. Step 5: Solve for x
    x = 157,973,567.16/13,675.68
  6. Step 6: Final answer
    x = 11,551.42

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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.