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Finding the Fourth Proportional to 24,311.64, 36,459.11 and 11,823.67

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Solution

The fourth proportional to 24,311.64, 36,459.11 and 11,823.67 is: 17,731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.64 : 36,459.11 = 11,823.67 : x
  2. Step 2: Convert to fraction form
    24,311.64/36,459.11 = 11,823.67/x
  3. Step 3: Cross multiply
    24,311.64x = 36,459.11 × 11,823.67
  4. Step 4: Simplify right side
    24,311.64x = 431,080,560.27
  5. Step 5: Solve for x
    x = 431,080,560.27/24,311.64
  6. Step 6: Final answer
    x = 17,731.44

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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.