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Finding the Fourth Proportional to 12,351.67, 18,527.46 and 3,117.67

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Solution

The fourth proportional to 12,351.67, 18,527.46 and 3,117.67 is: 4,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351.67 : 18,527.46 = 3,117.67 : x
  2. Step 2: Convert to fraction form
    12,351.67/18,527.46 = 3,117.67/x
  3. Step 3: Cross multiply
    12,351.67x = 18,527.46 × 3,117.67
  4. Step 4: Simplify right side
    12,351.67x = 57,762,506.22
  5. Step 5: Solve for x
    x = 57,762,506.22/12,351.67
  6. Step 6: Final answer
    x = 4,676.49

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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.