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Finding the Fourth Proportional to 13,573.14, 18,731.15 and 7,907.75

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Solution

The fourth proportional to 13,573.14, 18,731.15 and 7,907.75 is: 10,912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.14 : 18,731.15 = 7,907.75 : x
  2. Step 2: Convert to fraction form
    13,573.14/18,731.15 = 7,907.75/x
  3. Step 3: Cross multiply
    13,573.14x = 18,731.15 × 7,907.75
  4. Step 4: Simplify right side
    13,573.14x = 148,121,270.80
  5. Step 5: Solve for x
    x = 148,121,270.80/13,573.14
  6. Step 6: Final answer
    x = 10,912.82

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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.