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Finding the Fourth Proportional to 23,943.58, 35,893.04 and 8,137.82

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Solution

The fourth proportional to 23,943.58, 35,893.04 and 8,137.82 is: 12,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,943.58 : 35,893.04 = 8,137.82 : x
  2. Step 2: Convert to fraction form
    23,943.58/35,893.04 = 8,137.82/x
  3. Step 3: Cross multiply
    23,943.58x = 35,893.04 × 8,137.82
  4. Step 4: Simplify right side
    23,943.58x = 292,091,098.77
  5. Step 5: Solve for x
    x = 292,091,098.77/23,943.58
  6. Step 6: Final answer
    x = 12,199.14

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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.