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Finding the Fourth Proportional to 16,179.70, 24,234.44 and 7,842.22

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Solution

The fourth proportional to 16,179.70, 24,234.44 and 7,842.22 is: 11,746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,179.70 : 24,234.44 = 7,842.22 : x
  2. Step 2: Convert to fraction form
    16,179.70/24,234.44 = 7,842.22/x
  3. Step 3: Cross multiply
    16,179.70x = 24,234.44 × 7,842.22
  4. Step 4: Simplify right side
    16,179.70x = 190,051,754.37
  5. Step 5: Solve for x
    x = 190,051,754.37/16,179.70
  6. Step 6: Final answer
    x = 11,746.31

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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.