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Finding the Fourth Proportional to 13,537.77, 18,682.84 and 8,161.92

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Solution

The fourth proportional to 13,537.77, 18,682.84 and 8,161.92 is: 11,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.77 : 18,682.84 = 8,161.92 : x
  2. Step 2: Convert to fraction form
    13,537.77/18,682.84 = 8,161.92/x
  3. Step 3: Cross multiply
    13,537.77x = 18,682.84 × 8,161.92
  4. Step 4: Simplify right side
    13,537.77x = 152,487,809.74
  5. Step 5: Solve for x
    x = 152,487,809.74/13,537.77
  6. Step 6: Final answer
    x = 11,263.88

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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.