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Finding the Fourth Proportional to 13,767.24, 18,992.70 and 8,175

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Solution

The fourth proportional to 13,767.24, 18,992.70 and 8,175 is: 11,277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.24 : 18,992.70 = 8,175 : x
  2. Step 2: Convert to fraction form
    13,767.24/18,992.70 = 8,175/x
  3. Step 3: Cross multiply
    13,767.24x = 18,992.70 × 8,175
  4. Step 4: Simplify right side
    13,767.24x = 155,265,322.50
  5. Step 5: Solve for x
    x = 155,265,322.50/13,767.24
  6. Step 6: Final answer
    x = 11,277.88

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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.