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Finding the Fourth Proportional to 29,653.62, 40,921.38 and 16,224.84

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Solution

The fourth proportional to 29,653.62, 40,921.38 and 16,224.84 is: 22,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,653.62 : 40,921.38 = 16,224.84 : x
  2. Step 2: Convert to fraction form
    29,653.62/40,921.38 = 16,224.84/x
  3. Step 3: Cross multiply
    29,653.62x = 40,921.38 × 16,224.84
  4. Step 4: Simplify right side
    29,653.62x = 663,942,843.08
  5. Step 5: Solve for x
    x = 663,942,843.08/29,653.62
  6. Step 6: Final answer
    x = 22,389.94

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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.