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Finding the Fourth Proportional to 16,096.75, 24,142.53 and 4,407.23

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Solution

The fourth proportional to 16,096.75, 24,142.53 and 4,407.23 is: 6,610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.75 : 24,142.53 = 4,407.23 : x
  2. Step 2: Convert to fraction form
    16,096.75/24,142.53 = 4,407.23/x
  3. Step 3: Cross multiply
    16,096.75x = 24,142.53 × 4,407.23
  4. Step 4: Simplify right side
    16,096.75x = 106,401,742.85
  5. Step 5: Solve for x
    x = 106,401,742.85/16,096.75
  6. Step 6: Final answer
    x = 6,610.14

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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.