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Finding the Fourth Proportional to 14,104.68, 19,463.69 and 7,731.27

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Solution

The fourth proportional to 14,104.68, 19,463.69 and 7,731.27 is: 10,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104.68 : 19,463.69 = 7,731.27 : x
  2. Step 2: Convert to fraction form
    14,104.68/19,463.69 = 7,731.27/x
  3. Step 3: Cross multiply
    14,104.68x = 19,463.69 × 7,731.27
  4. Step 4: Simplify right side
    14,104.68x = 150,479,116.66
  5. Step 5: Solve for x
    x = 150,479,116.66/14,104.68
  6. Step 6: Final answer
    x = 10,668.74

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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.