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Finding the Fourth Proportional to 16,810.92, 23,199.84 and 9,257.40

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Solution

The fourth proportional to 16,810.92, 23,199.84 and 9,257.40 is: 12,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,810.92 : 23,199.84 = 9,257.40 : x
  2. Step 2: Convert to fraction form
    16,810.92/23,199.84 = 9,257.40/x
  3. Step 3: Cross multiply
    16,810.92x = 23,199.84 × 9,257.40
  4. Step 4: Simplify right side
    16,810.92x = 214,770,198.82
  5. Step 5: Solve for x
    x = 214,770,198.82/16,810.92
  6. Step 6: Final answer
    x = 12,775.64

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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.