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Finding the Fourth Proportional to 25,804.82, 38,706.40 and 7,336.82

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Solution

The fourth proportional to 25,804.82, 38,706.40 and 7,336.82 is: 11,004.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,804.82 : 38,706.40 = 7,336.82 : x
  2. Step 2: Convert to fraction form
    25,804.82/38,706.40 = 7,336.82/x
  3. Step 3: Cross multiply
    25,804.82x = 38,706.40 × 7,336.82
  4. Step 4: Simplify right side
    25,804.82x = 283,981,889.65
  5. Step 5: Solve for x
    x = 283,981,889.65/25,804.82
  6. Step 6: Final answer
    x = 11,004.99

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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.