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Finding the Fourth Proportional to 11,723.69, 16,183.65 and 11,407.79

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Solution

The fourth proportional to 11,723.69, 16,183.65 and 11,407.79 is: 15,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723.69 : 16,183.65 = 11,407.79 : x
  2. Step 2: Convert to fraction form
    11,723.69/16,183.65 = 11,407.79/x
  3. Step 3: Cross multiply
    11,723.69x = 16,183.65 × 11,407.79
  4. Step 4: Simplify right side
    11,723.69x = 184,619,599.72
  5. Step 5: Solve for x
    x = 184,619,599.72/11,723.69
  6. Step 6: Final answer
    x = 15,747.57

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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.