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Finding the Fourth Proportional to 25,668.56, 38,499.08 and 6,949.68

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Solution

The fourth proportional to 25,668.56, 38,499.08 and 6,949.68 is: 10,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,668.56 : 38,499.08 = 6,949.68 : x
  2. Step 2: Convert to fraction form
    25,668.56/38,499.08 = 6,949.68/x
  3. Step 3: Cross multiply
    25,668.56x = 38,499.08 × 6,949.68
  4. Step 4: Simplify right side
    25,668.56x = 267,556,286.29
  5. Step 5: Solve for x
    x = 267,556,286.29/25,668.56
  6. Step 6: Final answer
    x = 10,423.50

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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.