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Finding the Fourth Proportional to 16,732.36, 23,089.62 and 9,563.02

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Solution

The fourth proportional to 16,732.36, 23,089.62 and 9,563.02 is: 13,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732.36 : 23,089.62 = 9,563.02 : x
  2. Step 2: Convert to fraction form
    16,732.36/23,089.62 = 9,563.02/x
  3. Step 3: Cross multiply
    16,732.36x = 23,089.62 × 9,563.02
  4. Step 4: Simplify right side
    16,732.36x = 220,806,497.85
  5. Step 5: Solve for x
    x = 220,806,497.85/16,732.36
  6. Step 6: Final answer
    x = 13,196.38

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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.