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Finding the Fourth Proportional to 13,711.09, 18,921.36 and 7,423.46

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Solution

The fourth proportional to 13,711.09, 18,921.36 and 7,423.46 is: 10,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.09 : 18,921.36 = 7,423.46 : x
  2. Step 2: Convert to fraction form
    13,711.09/18,921.36 = 7,423.46/x
  3. Step 3: Cross multiply
    13,711.09x = 18,921.36 × 7,423.46
  4. Step 4: Simplify right side
    13,711.09x = 140,461,940.55
  5. Step 5: Solve for x
    x = 140,461,940.55/13,711.09
  6. Step 6: Final answer
    x = 10,244.41

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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.