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Finding the Fourth Proportional to 23,380.80, 35,071.34 and 7,798.38

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Solution

The fourth proportional to 23,380.80, 35,071.34 and 7,798.38 is: 11,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,380.80 : 35,071.34 = 7,798.38 : x
  2. Step 2: Convert to fraction form
    23,380.80/35,071.34 = 7,798.38/x
  3. Step 3: Cross multiply
    23,380.80x = 35,071.34 × 7,798.38
  4. Step 4: Simplify right side
    23,380.80x = 273,499,597.44
  5. Step 5: Solve for x
    x = 273,499,597.44/23,380.80
  6. Step 6: Final answer
    x = 11,697.62

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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.