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Finding the Fourth Proportional to 23,662.78, 32,644.38 and 13,588.90

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Solution

The fourth proportional to 23,662.78, 32,644.38 and 13,588.90 is: 18,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.78 : 32,644.38 = 13,588.90 : x
  2. Step 2: Convert to fraction form
    23,662.78/32,644.38 = 13,588.90/x
  3. Step 3: Cross multiply
    23,662.78x = 32,644.38 × 13,588.90
  4. Step 4: Simplify right side
    23,662.78x = 443,601,215.38
  5. Step 5: Solve for x
    x = 443,601,215.38/23,662.78
  6. Step 6: Final answer
    x = 18,746.79

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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.