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Finding the Fourth Proportional to 16,824.51, 23,217.52 and 9,271.54

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Solution

The fourth proportional to 16,824.51, 23,217.52 and 9,271.54 is: 12,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.51 : 23,217.52 = 9,271.54 : x
  2. Step 2: Convert to fraction form
    16,824.51/23,217.52 = 9,271.54/x
  3. Step 3: Cross multiply
    16,824.51x = 23,217.52 × 9,271.54
  4. Step 4: Simplify right side
    16,824.51x = 215,262,165.38
  5. Step 5: Solve for x
    x = 215,262,165.38/16,824.51
  6. Step 6: Final answer
    x = 12,794.56

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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.