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Finding the Fourth Proportional to 18,201.86, 27,309.36 and 6,357.38

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Solution

The fourth proportional to 18,201.86, 27,309.36 and 6,357.38 is: 9,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,201.86 : 27,309.36 = 6,357.38 : x
  2. Step 2: Convert to fraction form
    18,201.86/27,309.36 = 6,357.38/x
  3. Step 3: Cross multiply
    18,201.86x = 27,309.36 × 6,357.38
  4. Step 4: Simplify right side
    18,201.86x = 173,615,810.74
  5. Step 5: Solve for x
    x = 173,615,810.74/18,201.86
  6. Step 6: Final answer
    x = 9,538.36

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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.