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Finding the Fourth Proportional to 19,646.56, 29,463.14 and 7,163.66

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Solution

The fourth proportional to 19,646.56, 29,463.14 and 7,163.66 is: 10,743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,646.56 : 29,463.14 = 7,163.66 : x
  2. Step 2: Convert to fraction form
    19,646.56/29,463.14 = 7,163.66/x
  3. Step 3: Cross multiply
    19,646.56x = 29,463.14 × 7,163.66
  4. Step 4: Simplify right side
    19,646.56x = 211,063,917.49
  5. Step 5: Solve for x
    x = 211,063,917.49/19,646.56
  6. Step 6: Final answer
    x = 10,743.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.