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Finding the Fourth Proportional to 16,829.38, 23,224.41 and 9,275.72

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Solution

The fourth proportional to 16,829.38, 23,224.41 and 9,275.72 is: 12,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,829.38 : 23,224.41 = 9,275.72 : x
  2. Step 2: Convert to fraction form
    16,829.38/23,224.41 = 9,275.72/x
  3. Step 3: Cross multiply
    16,829.38x = 23,224.41 × 9,275.72
  4. Step 4: Simplify right side
    16,829.38x = 215,423,138.84
  5. Step 5: Solve for x
    x = 215,423,138.84/16,829.38
  6. Step 6: Final answer
    x = 12,800.42

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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.