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Finding the Fourth Proportional to 13,147.63, 18,143.73 and 8,431.91

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Solution

The fourth proportional to 13,147.63, 18,143.73 and 8,431.91 is: 11,636.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.63 : 18,143.73 = 8,431.91 : x
  2. Step 2: Convert to fraction form
    13,147.63/18,143.73 = 8,431.91/x
  3. Step 3: Cross multiply
    13,147.63x = 18,143.73 × 8,431.91
  4. Step 4: Simplify right side
    13,147.63x = 152,986,283.47
  5. Step 5: Solve for x
    x = 152,986,283.47/13,147.63
  6. Step 6: Final answer
    x = 11,636.04

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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.