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Finding the Fourth Proportional to 13,754.34, 18,958.86 and 9,276.66

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Solution

The fourth proportional to 13,754.34, 18,958.86 and 9,276.66 is: 12,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.34 : 18,958.86 = 9,276.66 : x
  2. Step 2: Convert to fraction form
    13,754.34/18,958.86 = 9,276.66/x
  3. Step 3: Cross multiply
    13,754.34x = 18,958.86 × 9,276.66
  4. Step 4: Simplify right side
    13,754.34x = 175,874,898.21
  5. Step 5: Solve for x
    x = 175,874,898.21/13,754.34
  6. Step 6: Final answer
    x = 12,786.87

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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.