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Finding the Fourth Proportional to 14,245.74, 19,658.63 and 7,871.96

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Solution

The fourth proportional to 14,245.74, 19,658.63 and 7,871.96 is: 10,863.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,245.74 : 19,658.63 = 7,871.96 : x
  2. Step 2: Convert to fraction form
    14,245.74/19,658.63 = 7,871.96/x
  3. Step 3: Cross multiply
    14,245.74x = 19,658.63 × 7,871.96
  4. Step 4: Simplify right side
    14,245.74x = 154,751,949.01
  5. Step 5: Solve for x
    x = 154,751,949.01/14,245.74
  6. Step 6: Final answer
    x = 10,863.03

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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.