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Finding the Fourth Proportional to 16,267.34, 24,401.03 and 6,401.24

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Solution

The fourth proportional to 16,267.34, 24,401.03 and 6,401.24 is: 9,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.34 : 24,401.03 = 6,401.24 : x
  2. Step 2: Convert to fraction form
    16,267.34/24,401.03 = 6,401.24/x
  3. Step 3: Cross multiply
    16,267.34x = 24,401.03 × 6,401.24
  4. Step 4: Simplify right side
    16,267.34x = 156,196,695.27
  5. Step 5: Solve for x
    x = 156,196,695.27/16,267.34
  6. Step 6: Final answer
    x = 9,601.86

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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.