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Finding the Fourth Proportional to 23,777.38, 35,672 and 7,137.72

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Solution

The fourth proportional to 23,777.38, 35,672 and 7,137.72 is: 10,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,777.38 : 35,672 = 7,137.72 : x
  2. Step 2: Convert to fraction form
    23,777.38/35,672 = 7,137.72/x
  3. Step 3: Cross multiply
    23,777.38x = 35,672 × 7,137.72
  4. Step 4: Simplify right side
    23,777.38x = 254,616,747.84
  5. Step 5: Solve for x
    x = 254,616,747.84/23,777.38
  6. Step 6: Final answer
    x = 10,708.36

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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.