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Finding the Fourth Proportional to 16,401.70, 24,602.82 and 5,156.69

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Solution

The fourth proportional to 16,401.70, 24,602.82 and 5,156.69 is: 7,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.70 : 24,602.82 = 5,156.69 : x
  2. Step 2: Convert to fraction form
    16,401.70/24,602.82 = 5,156.69/x
  3. Step 3: Cross multiply
    16,401.70x = 24,602.82 × 5,156.69
  4. Step 4: Simplify right side
    16,401.70x = 126,869,115.87
  5. Step 5: Solve for x
    x = 126,869,115.87/16,401.70
  6. Step 6: Final answer
    x = 7,735.12

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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.