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Finding the Fourth Proportional to 14,116.69, 19,481.25 and 7,743.84

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Solution

The fourth proportional to 14,116.69, 19,481.25 and 7,743.84 is: 10,686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.69 : 19,481.25 = 7,743.84 : x
  2. Step 2: Convert to fraction form
    14,116.69/19,481.25 = 7,743.84/x
  3. Step 3: Cross multiply
    14,116.69x = 19,481.25 × 7,743.84
  4. Step 4: Simplify right side
    14,116.69x = 150,859,683
  5. Step 5: Solve for x
    x = 150,859,683/14,116.69
  6. Step 6: Final answer
    x = 10,686.62

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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.