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Finding the Fourth Proportional to 25,874.47, 38,799.42 and 11,830.33

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Solution

The fourth proportional to 25,874.47, 38,799.42 and 11,830.33 is: 17,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874.47 : 38,799.42 = 11,830.33 : x
  2. Step 2: Convert to fraction form
    25,874.47/38,799.42 = 11,830.33/x
  3. Step 3: Cross multiply
    25,874.47x = 38,799.42 × 11,830.33
  4. Step 4: Simplify right side
    25,874.47x = 459,009,942.41
  5. Step 5: Solve for x
    x = 459,009,942.41/25,874.47
  6. Step 6: Final answer
    x = 17,739.88

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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.