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Finding the Fourth Proportional to 23,537, 32,483.94 and 13,601

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Solution

The fourth proportional to 23,537, 32,483.94 and 13,601 is: 18,771.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537 : 32,483.94 = 13,601 : x
  2. Step 2: Convert to fraction form
    23,537/32,483.94 = 13,601/x
  3. Step 3: Cross multiply
    23,537x = 32,483.94 × 13,601
  4. Step 4: Simplify right side
    23,537x = 441,814,067.94
  5. Step 5: Solve for x
    x = 441,814,067.94/23,537
  6. Step 6: Final answer
    x = 18,771.04

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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.