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Finding the Fourth Proportional to 16,114.50, 22,230.45 and 11,401.38

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Solution

The fourth proportional to 16,114.50, 22,230.45 and 11,401.38 is: 15,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.50 : 22,230.45 = 11,401.38 : x
  2. Step 2: Convert to fraction form
    16,114.50/22,230.45 = 11,401.38/x
  3. Step 3: Cross multiply
    16,114.50x = 22,230.45 × 11,401.38
  4. Step 4: Simplify right side
    16,114.50x = 253,457,808.02
  5. Step 5: Solve for x
    x = 253,457,808.02/16,114.50
  6. Step 6: Final answer
    x = 15,728.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.