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Finding the Fourth Proportional to 23,180.42, 34,769 and 6,539.78

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Solution

The fourth proportional to 23,180.42, 34,769 and 6,539.78 is: 9,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,180.42 : 34,769 = 6,539.78 : x
  2. Step 2: Convert to fraction form
    23,180.42/34,769 = 6,539.78/x
  3. Step 3: Cross multiply
    23,180.42x = 34,769 × 6,539.78
  4. Step 4: Simplify right side
    23,180.42x = 227,381,610.82
  5. Step 5: Solve for x
    x = 227,381,610.82/23,180.42
  6. Step 6: Final answer
    x = 9,809.21

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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.