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Finding the Fourth Proportional to 13,541.50, 18,689.43 and 7,951.42

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Solution

The fourth proportional to 13,541.50, 18,689.43 and 7,951.42 is: 10,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,541.50 : 18,689.43 = 7,951.42 : x
  2. Step 2: Convert to fraction form
    13,541.50/18,689.43 = 7,951.42/x
  3. Step 3: Cross multiply
    13,541.50x = 18,689.43 × 7,951.42
  4. Step 4: Simplify right side
    13,541.50x = 148,607,507.49
  5. Step 5: Solve for x
    x = 148,607,507.49/13,541.50
  6. Step 6: Final answer
    x = 10,974.23

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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.