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Finding the Fourth Proportional to 24,551.52, 36,857.28 and 16,205.28

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Solution

The fourth proportional to 24,551.52, 36,857.28 and 16,205.28 is: 24,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,551.52 : 36,857.28 = 16,205.28 : x
  2. Step 2: Convert to fraction form
    24,551.52/36,857.28 = 16,205.28/x
  3. Step 3: Cross multiply
    24,551.52x = 36,857.28 × 16,205.28
  4. Step 4: Simplify right side
    24,551.52x = 597,282,542.44
  5. Step 5: Solve for x
    x = 597,282,542.44/24,551.52
  6. Step 6: Final answer
    x = 24,327.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.