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Finding the Fourth Proportional to 14,186.75, 19,574.46 and 8,519.58

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Solution

The fourth proportional to 14,186.75, 19,574.46 and 8,519.58 is: 11,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.75 : 19,574.46 = 8,519.58 : x
  2. Step 2: Convert to fraction form
    14,186.75/19,574.46 = 8,519.58/x
  3. Step 3: Cross multiply
    14,186.75x = 19,574.46 × 8,519.58
  4. Step 4: Simplify right side
    14,186.75x = 166,766,177.93
  5. Step 5: Solve for x
    x = 166,766,177.93/14,186.75
  6. Step 6: Final answer
    x = 11,755.07

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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.