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Finding the Fourth Proportional to 25,094, 37,658.28 and 8,678

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Solution

The fourth proportional to 25,094, 37,658.28 and 8,678 is: 13,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,094 : 37,658.28 = 8,678 : x
  2. Step 2: Convert to fraction form
    25,094/37,658.28 = 8,678/x
  3. Step 3: Cross multiply
    25,094x = 37,658.28 × 8,678
  4. Step 4: Simplify right side
    25,094x = 326,798,553.84
  5. Step 5: Solve for x
    x = 326,798,553.84/25,094
  6. Step 6: Final answer
    x = 13,022.98

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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.