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Finding the Fourth Proportional to 23,658.94, 32,650.96 and 13,722.94

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Solution

The fourth proportional to 23,658.94, 32,650.96 and 13,722.94 is: 18,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.94 : 32,650.96 = 13,722.94 : x
  2. Step 2: Convert to fraction form
    23,658.94/32,650.96 = 13,722.94/x
  3. Step 3: Cross multiply
    23,658.94x = 32,650.96 × 13,722.94
  4. Step 4: Simplify right side
    23,658.94x = 448,067,165.02
  5. Step 5: Solve for x
    x = 448,067,165.02/23,658.94
  6. Step 6: Final answer
    x = 18,938.60

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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.