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Finding the Fourth Proportional to 17,729.65, 24,475.67 and 12,093.67

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Solution

The fourth proportional to 17,729.65, 24,475.67 and 12,093.67 is: 16,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.65 : 24,475.67 = 12,093.67 : x
  2. Step 2: Convert to fraction form
    17,729.65/24,475.67 = 12,093.67/x
  3. Step 3: Cross multiply
    17,729.65x = 24,475.67 × 12,093.67
  4. Step 4: Simplify right side
    17,729.65x = 296,000,676.01
  5. Step 5: Solve for x
    x = 296,000,676.01/17,729.65
  6. Step 6: Final answer
    x = 16,695.24

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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.