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Finding the Fourth Proportional to 23,669.08, 32,801.41 and 23,335

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Solution

The fourth proportional to 23,669.08, 32,801.41 and 23,335 is: 32,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,669.08 : 32,801.41 = 23,335 : x
  2. Step 2: Convert to fraction form
    23,669.08/32,801.41 = 23,335/x
  3. Step 3: Cross multiply
    23,669.08x = 32,801.41 × 23,335
  4. Step 4: Simplify right side
    23,669.08x = 765,420,902.35
  5. Step 5: Solve for x
    x = 765,420,902.35/23,669.08
  6. Step 6: Final answer
    x = 32,338.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.