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Finding the Fourth Proportional to 23,285.69, 32,163.10 and 16,902.08

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Solution

The fourth proportional to 23,285.69, 32,163.10 and 16,902.08 is: 23,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,285.69 : 32,163.10 = 16,902.08 : x
  2. Step 2: Convert to fraction form
    23,285.69/32,163.10 = 16,902.08/x
  3. Step 3: Cross multiply
    23,285.69x = 32,163.10 × 16,902.08
  4. Step 4: Simplify right side
    23,285.69x = 543,623,086.18
  5. Step 5: Solve for x
    x = 543,623,086.18/23,285.69
  6. Step 6: Final answer
    x = 23,345.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.