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Finding the Fourth Proportional to 16,823.92, 25,236.09 and 7,205.50

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Solution

The fourth proportional to 16,823.92, 25,236.09 and 7,205.50 is: 10,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.92 : 25,236.09 = 7,205.50 : x
  2. Step 2: Convert to fraction form
    16,823.92/25,236.09 = 7,205.50/x
  3. Step 3: Cross multiply
    16,823.92x = 25,236.09 × 7,205.50
  4. Step 4: Simplify right side
    16,823.92x = 181,838,646.50
  5. Step 5: Solve for x
    x = 181,838,646.50/16,823.92
  6. Step 6: Final answer
    x = 10,808.34

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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.