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Finding the Fourth Proportional to 12,350, 18,527.82 and 3,585.62

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Solution

The fourth proportional to 12,350, 18,527.82 and 3,585.62 is: 5,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,350 : 18,527.82 = 3,585.62 : x
  2. Step 2: Convert to fraction form
    12,350/18,527.82 = 3,585.62/x
  3. Step 3: Cross multiply
    12,350x = 18,527.82 × 3,585.62
  4. Step 4: Simplify right side
    12,350x = 66,433,721.95
  5. Step 5: Solve for x
    x = 66,433,721.95/12,350
  6. Step 6: Final answer
    x = 5,379.25

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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.