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Finding the Fourth Proportional to 16,822.92, 25,234.59 and 7,204.50

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Solution

The fourth proportional to 16,822.92, 25,234.59 and 7,204.50 is: 10,806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.92 : 25,234.59 = 7,204.50 : x
  2. Step 2: Convert to fraction form
    16,822.92/25,234.59 = 7,204.50/x
  3. Step 3: Cross multiply
    16,822.92x = 25,234.59 × 7,204.50
  4. Step 4: Simplify right side
    16,822.92x = 181,802,661.12
  5. Step 5: Solve for x
    x = 181,802,661.12/16,822.92
  6. Step 6: Final answer
    x = 10,806.84

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