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Finding the Fourth Proportional to 21,664.80, 29,911.32 and 17,695.44

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Solution

The fourth proportional to 21,664.80, 29,911.32 and 17,695.44 is: 24,431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664.80 : 29,911.32 = 17,695.44 : x
  2. Step 2: Convert to fraction form
    21,664.80/29,911.32 = 17,695.44/x
  3. Step 3: Cross multiply
    21,664.80x = 29,911.32 × 17,695.44
  4. Step 4: Simplify right side
    21,664.80x = 529,293,968.38
  5. Step 5: Solve for x
    x = 529,293,968.38/21,664.80
  6. Step 6: Final answer
    x = 24,431.06

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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.