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Finding the Fourth Proportional to 13,631.81, 18,804.61 and 9,147.86

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Solution

The fourth proportional to 13,631.81, 18,804.61 and 9,147.86 is: 12,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,631.81 : 18,804.61 = 9,147.86 : x
  2. Step 2: Convert to fraction form
    13,631.81/18,804.61 = 9,147.86/x
  3. Step 3: Cross multiply
    13,631.81x = 18,804.61 × 9,147.86
  4. Step 4: Simplify right side
    13,631.81x = 172,021,857.05
  5. Step 5: Solve for x
    x = 172,021,857.05/13,631.81
  6. Step 6: Final answer
    x = 12,619.15

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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.