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Finding the Fourth Proportional to 16,392, 24,576.36 and 8,999.92

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Solution

The fourth proportional to 16,392, 24,576.36 and 8,999.92 is: 13,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,392 : 24,576.36 = 8,999.92 : x
  2. Step 2: Convert to fraction form
    16,392/24,576.36 = 8,999.92/x
  3. Step 3: Cross multiply
    16,392x = 24,576.36 × 8,999.92
  4. Step 4: Simplify right side
    16,392x = 221,185,273.89
  5. Step 5: Solve for x
    x = 221,185,273.89/16,392
  6. Step 6: Final answer
    x = 13,493.49

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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.