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Finding the Fourth Proportional to 16,073.67, 24,113.94 and 8,177.28

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Solution

The fourth proportional to 16,073.67, 24,113.94 and 8,177.28 is: 12,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,073.67 : 24,113.94 = 8,177.28 : x
  2. Step 2: Convert to fraction form
    16,073.67/24,113.94 = 8,177.28/x
  3. Step 3: Cross multiply
    16,073.67x = 24,113.94 × 8,177.28
  4. Step 4: Simplify right side
    16,073.67x = 197,186,439.28
  5. Step 5: Solve for x
    x = 197,186,439.28/16,073.67
  6. Step 6: Final answer
    x = 12,267.67

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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.