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Finding the Fourth Proportional to 21,724.64, 29,958.36 and 16,359.92

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Solution

The fourth proportional to 21,724.64, 29,958.36 and 16,359.92 is: 22,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724.64 : 29,958.36 = 16,359.92 : x
  2. Step 2: Convert to fraction form
    21,724.64/29,958.36 = 16,359.92/x
  3. Step 3: Cross multiply
    21,724.64x = 29,958.36 × 16,359.92
  4. Step 4: Simplify right side
    21,724.64x = 490,116,372.93
  5. Step 5: Solve for x
    x = 490,116,372.93/21,724.64
  6. Step 6: Final answer
    x = 22,560.39

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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.