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Finding the Fourth Proportional to 15,842.98, 23,755.68 and 6,489.56

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Solution

The fourth proportional to 15,842.98, 23,755.68 and 6,489.56 is: 9,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.98 : 23,755.68 = 6,489.56 : x
  2. Step 2: Convert to fraction form
    15,842.98/23,755.68 = 6,489.56/x
  3. Step 3: Cross multiply
    15,842.98x = 23,755.68 × 6,489.56
  4. Step 4: Simplify right side
    15,842.98x = 154,163,910.70
  5. Step 5: Solve for x
    x = 154,163,910.70/15,842.98
  6. Step 6: Final answer
    x = 9,730.74

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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.