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Finding the Fourth Proportional to 18,494.71, 27,741.94 and 7,403.96

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Solution

The fourth proportional to 18,494.71, 27,741.94 and 7,403.96 is: 11,105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,494.71 : 27,741.94 = 7,403.96 : x
  2. Step 2: Convert to fraction form
    18,494.71/27,741.94 = 7,403.96/x
  3. Step 3: Cross multiply
    18,494.71x = 27,741.94 × 7,403.96
  4. Step 4: Simplify right side
    18,494.71x = 205,400,214.08
  5. Step 5: Solve for x
    x = 205,400,214.08/18,494.71
  6. Step 6: Final answer
    x = 11,105.89

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Why These Related Problems?

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