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Finding the Fourth Proportional to 18,925.97, 28,388.70 and 5,778.38

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Solution

The fourth proportional to 18,925.97, 28,388.70 and 5,778.38 is: 8,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,925.97 : 28,388.70 = 5,778.38 : x
  2. Step 2: Convert to fraction form
    18,925.97/28,388.70 = 5,778.38/x
  3. Step 3: Cross multiply
    18,925.97x = 28,388.70 × 5,778.38
  4. Step 4: Simplify right side
    18,925.97x = 164,040,696.31
  5. Step 5: Solve for x
    x = 164,040,696.31/18,925.97
  6. Step 6: Final answer
    x = 8,667.49

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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.