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Finding the Fourth Proportional to 19,668.57, 29,506.50 and 8,573.19

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Solution

The fourth proportional to 19,668.57, 29,506.50 and 8,573.19 is: 12,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,668.57 : 29,506.50 = 8,573.19 : x
  2. Step 2: Convert to fraction form
    19,668.57/29,506.50 = 8,573.19/x
  3. Step 3: Cross multiply
    19,668.57x = 29,506.50 × 8,573.19
  4. Step 4: Simplify right side
    19,668.57x = 252,964,830.74
  5. Step 5: Solve for x
    x = 252,964,830.74/19,668.57
  6. Step 6: Final answer
    x = 12,861.37

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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.