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Finding the Fourth Proportional to 12,433.77, 18,650.65 and 11,893.85

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Solution

The fourth proportional to 12,433.77, 18,650.65 and 11,893.85 is: 17,840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.77 : 18,650.65 = 11,893.85 : x
  2. Step 2: Convert to fraction form
    12,433.77/18,650.65 = 11,893.85/x
  3. Step 3: Cross multiply
    12,433.77x = 18,650.65 × 11,893.85
  4. Step 4: Simplify right side
    12,433.77x = 221,828,033.50
  5. Step 5: Solve for x
    x = 221,828,033.50/12,433.77
  6. Step 6: Final answer
    x = 17,840.77

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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.