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Finding the Fourth Proportional to 16,518.86, 24,782.08 and 7,160.44

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Solution

The fourth proportional to 16,518.86, 24,782.08 and 7,160.44 is: 10,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,518.86 : 24,782.08 = 7,160.44 : x
  2. Step 2: Convert to fraction form
    16,518.86/24,782.08 = 7,160.44/x
  3. Step 3: Cross multiply
    16,518.86x = 24,782.08 × 7,160.44
  4. Step 4: Simplify right side
    16,518.86x = 177,450,596.92
  5. Step 5: Solve for x
    x = 177,450,596.92/16,518.86
  6. Step 6: Final answer
    x = 10,742.30

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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.