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Finding the Fourth Proportional to 13,423.46, 18,517.95 and 9,446.78

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Solution

The fourth proportional to 13,423.46, 18,517.95 and 9,446.78 is: 13,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.46 : 18,517.95 = 9,446.78 : x
  2. Step 2: Convert to fraction form
    13,423.46/18,517.95 = 9,446.78/x
  3. Step 3: Cross multiply
    13,423.46x = 18,517.95 × 9,446.78
  4. Step 4: Simplify right side
    13,423.46x = 174,934,999.70
  5. Step 5: Solve for x
    x = 174,934,999.70/13,423.46
  6. Step 6: Final answer
    x = 13,032.03

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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.