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Finding the Fourth Proportional to 17,178.24, 25,777.06 and 7,316.48

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Solution

The fourth proportional to 17,178.24, 25,777.06 and 7,316.48 is: 10,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,178.24 : 25,777.06 = 7,316.48 : x
  2. Step 2: Convert to fraction form
    17,178.24/25,777.06 = 7,316.48/x
  3. Step 3: Cross multiply
    17,178.24x = 25,777.06 × 7,316.48
  4. Step 4: Simplify right side
    17,178.24x = 188,597,343.95
  5. Step 5: Solve for x
    x = 188,597,343.95/17,178.24
  6. Step 6: Final answer
    x = 10,978.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.