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Finding the Fourth Proportional to 13,423.42, 18,517.31 and 9,114.99

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Solution

The fourth proportional to 13,423.42, 18,517.31 and 9,114.99 is: 12,573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.42 : 18,517.31 = 9,114.99 : x
  2. Step 2: Convert to fraction form
    13,423.42/18,517.31 = 9,114.99/x
  3. Step 3: Cross multiply
    13,423.42x = 18,517.31 × 9,114.99
  4. Step 4: Simplify right side
    13,423.42x = 168,785,049.90
  5. Step 5: Solve for x
    x = 168,785,049.90/13,423.42
  6. Step 6: Final answer
    x = 12,573.93

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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.