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Finding the Fourth Proportional to 13,832.72, 19,086.84 and 13,132.16

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Solution

The fourth proportional to 13,832.72, 19,086.84 and 13,132.16 is: 18,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.72 : 19,086.84 = 13,132.16 : x
  2. Step 2: Convert to fraction form
    13,832.72/19,086.84 = 13,132.16/x
  3. Step 3: Cross multiply
    13,832.72x = 19,086.84 × 13,132.16
  4. Step 4: Simplify right side
    13,832.72x = 250,651,436.77
  5. Step 5: Solve for x
    x = 250,651,436.77/13,832.72
  6. Step 6: Final answer
    x = 18,120.18

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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.