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Finding the Fourth Proportional to 24,096.72, 36,138.14 and 8,301.11

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Solution

The fourth proportional to 24,096.72, 36,138.14 and 8,301.11 is: 12,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,096.72 : 36,138.14 = 8,301.11 : x
  2. Step 2: Convert to fraction form
    24,096.72/36,138.14 = 8,301.11/x
  3. Step 3: Cross multiply
    24,096.72x = 36,138.14 × 8,301.11
  4. Step 4: Simplify right side
    24,096.72x = 299,986,675.34
  5. Step 5: Solve for x
    x = 299,986,675.34/24,096.72
  6. Step 6: Final answer
    x = 12,449.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.