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Finding the Fourth Proportional to 21,662.88, 29,894.77 and 12,232.05

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Solution

The fourth proportional to 21,662.88, 29,894.77 and 12,232.05 is: 16,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.88 : 29,894.77 = 12,232.05 : x
  2. Step 2: Convert to fraction form
    21,662.88/29,894.77 = 12,232.05/x
  3. Step 3: Cross multiply
    21,662.88x = 29,894.77 × 12,232.05
  4. Step 4: Simplify right side
    21,662.88x = 365,674,321.38
  5. Step 5: Solve for x
    x = 365,674,321.38/21,662.88
  6. Step 6: Final answer
    x = 16,880.23

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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.