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Finding the Fourth Proportional to 29,682.98, 40,963.44 and 16,255.52

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Solution

The fourth proportional to 29,682.98, 40,963.44 and 16,255.52 is: 22,433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682.98 : 40,963.44 = 16,255.52 : x
  2. Step 2: Convert to fraction form
    29,682.98/40,963.44 = 16,255.52/x
  3. Step 3: Cross multiply
    29,682.98x = 40,963.44 × 16,255.52
  4. Step 4: Simplify right side
    29,682.98x = 665,881,813.37
  5. Step 5: Solve for x
    x = 665,881,813.37/29,682.98
  6. Step 6: Final answer
    x = 22,433.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.