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Finding the Fourth Proportional to 13,578.10, 18,738.93 and 7,913.31

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Solution

The fourth proportional to 13,578.10, 18,738.93 and 7,913.31 is: 10,921.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.10 : 18,738.93 = 7,913.31 : x
  2. Step 2: Convert to fraction form
    13,578.10/18,738.93 = 7,913.31/x
  3. Step 3: Cross multiply
    13,578.10x = 18,738.93 × 7,913.31
  4. Step 4: Simplify right side
    13,578.10x = 148,286,982.46
  5. Step 5: Solve for x
    x = 148,286,982.46/13,578.10
  6. Step 6: Final answer
    x = 10,921.04

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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.