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Finding the Fourth Proportional to 16,794.50, 23,176.55 and 9,342.50

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Solution

The fourth proportional to 16,794.50, 23,176.55 and 9,342.50 is: 12,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,794.50 : 23,176.55 = 9,342.50 : x
  2. Step 2: Convert to fraction form
    16,794.50/23,176.55 = 9,342.50/x
  3. Step 3: Cross multiply
    16,794.50x = 23,176.55 × 9,342.50
  4. Step 4: Simplify right side
    16,794.50x = 216,526,918.38
  5. Step 5: Solve for x
    x = 216,526,918.38/16,794.50
  6. Step 6: Final answer
    x = 12,892.73

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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.