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Finding the Fourth Proportional to 14,109.14, 19,472.01 and 7,822.73

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Solution

The fourth proportional to 14,109.14, 19,472.01 and 7,822.73 is: 10,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.14 : 19,472.01 = 7,822.73 : x
  2. Step 2: Convert to fraction form
    14,109.14/19,472.01 = 7,822.73/x
  3. Step 3: Cross multiply
    14,109.14x = 19,472.01 × 7,822.73
  4. Step 4: Simplify right side
    14,109.14x = 152,324,276.79
  5. Step 5: Solve for x
    x = 152,324,276.79/14,109.14
  6. Step 6: Final answer
    x = 10,796.14

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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.