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Finding the Fourth Proportional to 12,191.67, 18,287.50 and 4,292.32

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Solution

The fourth proportional to 12,191.67, 18,287.50 and 4,292.32 is: 6,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.67 : 18,287.50 = 4,292.32 : x
  2. Step 2: Convert to fraction form
    12,191.67/18,287.50 = 4,292.32/x
  3. Step 3: Cross multiply
    12,191.67x = 18,287.50 × 4,292.32
  4. Step 4: Simplify right side
    12,191.67x = 78,495,802
  5. Step 5: Solve for x
    x = 78,495,802/12,191.67
  6. Step 6: Final answer
    x = 6,438.48

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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.