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Finding the Fourth Proportional to 16,518.91, 24,782.14 and 7,160.48

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Solution

The fourth proportional to 16,518.91, 24,782.14 and 7,160.48 is: 10,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,518.91 : 24,782.14 = 7,160.48 : x
  2. Step 2: Convert to fraction form
    16,518.91/24,782.14 = 7,160.48/x
  3. Step 3: Cross multiply
    16,518.91x = 24,782.14 × 7,160.48
  4. Step 4: Simplify right side
    16,518.91x = 177,451,982.02
  5. Step 5: Solve for x
    x = 177,451,982.02/16,518.91
  6. Step 6: Final answer
    x = 10,742.36

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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.