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Finding the Fourth Proportional to 19,668.12, 29,505.15 and 6,517.50

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Solution

The fourth proportional to 19,668.12, 29,505.15 and 6,517.50 is: 9,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,668.12 : 29,505.15 = 6,517.50 : x
  2. Step 2: Convert to fraction form
    19,668.12/29,505.15 = 6,517.50/x
  3. Step 3: Cross multiply
    19,668.12x = 29,505.15 × 6,517.50
  4. Step 4: Simplify right side
    19,668.12x = 192,299,815.13
  5. Step 5: Solve for x
    x = 192,299,815.13/19,668.12
  6. Step 6: Final answer
    x = 9,777.23

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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.