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Finding the Fourth Proportional to 16,643.52, 24,966.24 and 6,255.36

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Solution

The fourth proportional to 16,643.52, 24,966.24 and 6,255.36 is: 9,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.52 : 24,966.24 = 6,255.36 : x
  2. Step 2: Convert to fraction form
    16,643.52/24,966.24 = 6,255.36/x
  3. Step 3: Cross multiply
    16,643.52x = 24,966.24 × 6,255.36
  4. Step 4: Simplify right side
    16,643.52x = 156,172,819.05
  5. Step 5: Solve for x
    x = 156,172,819.05/16,643.52
  6. Step 6: Final answer
    x = 9,383.40

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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.