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Finding the Fourth Proportional to 16,315.34, 24,469.15 and 9,202.62

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Solution

The fourth proportional to 16,315.34, 24,469.15 and 9,202.62 is: 13,801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.34 : 24,469.15 = 9,202.62 : x
  2. Step 2: Convert to fraction form
    16,315.34/24,469.15 = 9,202.62/x
  3. Step 3: Cross multiply
    16,315.34x = 24,469.15 × 9,202.62
  4. Step 4: Simplify right side
    16,315.34x = 225,180,392.44
  5. Step 5: Solve for x
    x = 225,180,392.44/16,315.34
  6. Step 6: Final answer
    x = 13,801.76

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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.