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Finding the Fourth Proportional to 11,539.84, 17,312.67 and 3,219.85

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Solution

The fourth proportional to 11,539.84, 17,312.67 and 3,219.85 is: 4,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.84 : 17,312.67 = 3,219.85 : x
  2. Step 2: Convert to fraction form
    11,539.84/17,312.67 = 3,219.85/x
  3. Step 3: Cross multiply
    11,539.84x = 17,312.67 × 3,219.85
  4. Step 4: Simplify right side
    11,539.84x = 55,744,234.21
  5. Step 5: Solve for x
    x = 55,744,234.21/11,539.84
  6. Step 6: Final answer
    x = 4,830.59

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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.