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Finding the Fourth Proportional to 21,613.50, 32,429.97 and 12,379.50

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Solution

The fourth proportional to 21,613.50, 32,429.97 and 12,379.50 is: 18,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,613.50 : 32,429.97 = 12,379.50 : x
  2. Step 2: Convert to fraction form
    21,613.50/32,429.97 = 12,379.50/x
  3. Step 3: Cross multiply
    21,613.50x = 32,429.97 × 12,379.50
  4. Step 4: Simplify right side
    21,613.50x = 401,466,813.62
  5. Step 5: Solve for x
    x = 401,466,813.62/21,613.50
  6. Step 6: Final answer
    x = 18,574.82

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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.