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Finding the Fourth Proportional to 13,682.88, 18,878.08 and 8,372.16

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Solution

The fourth proportional to 13,682.88, 18,878.08 and 8,372.16 is: 11,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.88 : 18,878.08 = 8,372.16 : x
  2. Step 2: Convert to fraction form
    13,682.88/18,878.08 = 8,372.16/x
  3. Step 3: Cross multiply
    13,682.88x = 18,878.08 × 8,372.16
  4. Step 4: Simplify right side
    13,682.88x = 158,050,306.25
  5. Step 5: Solve for x
    x = 158,050,306.25/13,682.88
  6. Step 6: Final answer
    x = 11,550.95

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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.