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Finding the Fourth Proportional to 23,935.16, 35,892.34 and 8,135.94

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Solution

The fourth proportional to 23,935.16, 35,892.34 and 8,135.94 is: 12,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,935.16 : 35,892.34 = 8,135.94 : x
  2. Step 2: Convert to fraction form
    23,935.16/35,892.34 = 8,135.94/x
  3. Step 3: Cross multiply
    23,935.16x = 35,892.34 × 8,135.94
  4. Step 4: Simplify right side
    23,935.16x = 292,017,917.23
  5. Step 5: Solve for x
    x = 292,017,917.23/23,935.16
  6. Step 6: Final answer
    x = 12,200.38

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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.